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Finding the Fourth Proportional to 1,502.40, 2,254.41 and 625.51

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Solution

The fourth proportional to 1,502.40, 2,254.41 and 625.51 is: 938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.40 : 2,254.41 = 625.51 : x
  2. Step 2: Convert to fraction form
    1,502.40/2,254.41 = 625.51/x
  3. Step 3: Cross multiply
    1,502.40x = 2,254.41 × 625.51
  4. Step 4: Simplify right side
    1,502.40x = 1,410,151.89
  5. Step 5: Solve for x
    x = 1,410,151.89/1,502.40
  6. Step 6: Final answer
    x = 938.60

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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.