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Finding the Fourth Proportional to 4,597.84, 6,896.98 and 1,311.16

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Solution

The fourth proportional to 4,597.84, 6,896.98 and 1,311.16 is: 1,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.84 : 6,896.98 = 1,311.16 : x
  2. Step 2: Convert to fraction form
    4,597.84/6,896.98 = 1,311.16/x
  3. Step 3: Cross multiply
    4,597.84x = 6,896.98 × 1,311.16
  4. Step 4: Simplify right side
    4,597.84x = 9,043,044.30
  5. Step 5: Solve for x
    x = 9,043,044.30/4,597.84
  6. Step 6: Final answer
    x = 1,966.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.