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Finding the Fourth Proportional to 2,275.02, 3,411.85 and 631.13

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Solution

The fourth proportional to 2,275.02, 3,411.85 and 631.13 is: 946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.02 : 3,411.85 = 631.13 : x
  2. Step 2: Convert to fraction form
    2,275.02/3,411.85 = 631.13/x
  3. Step 3: Cross multiply
    2,275.02x = 3,411.85 × 631.13
  4. Step 4: Simplify right side
    2,275.02x = 2,153,320.89
  5. Step 5: Solve for x
    x = 2,153,320.89/2,275.02
  6. Step 6: Final answer
    x = 946.51

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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.