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Finding the Fourth Proportional to 2,911.84, 4,017.34 and 1,652.80

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Solution

The fourth proportional to 2,911.84, 4,017.34 and 1,652.80 is: 2,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.84 : 4,017.34 = 1,652.80 : x
  2. Step 2: Convert to fraction form
    2,911.84/4,017.34 = 1,652.80/x
  3. Step 3: Cross multiply
    2,911.84x = 4,017.34 × 1,652.80
  4. Step 4: Simplify right side
    2,911.84x = 6,639,859.55
  5. Step 5: Solve for x
    x = 6,639,859.55/2,911.84
  6. Step 6: Final answer
    x = 2,280.30

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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.