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Finding the Fourth Proportional to 3,459.03, 4,772.84 and 1,946.16

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Solution

The fourth proportional to 3,459.03, 4,772.84 and 1,946.16 is: 2,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.03 : 4,772.84 = 1,946.16 : x
  2. Step 2: Convert to fraction form
    3,459.03/4,772.84 = 1,946.16/x
  3. Step 3: Cross multiply
    3,459.03x = 4,772.84 × 1,946.16
  4. Step 4: Simplify right side
    3,459.03x = 9,288,710.29
  5. Step 5: Solve for x
    x = 9,288,710.29/3,459.03
  6. Step 6: Final answer
    x = 2,685.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.