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Finding the Fourth Proportional to 2,502.50, 3,453.45 and 1,398.50

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Solution

The fourth proportional to 2,502.50, 3,453.45 and 1,398.50 is: 1,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.50 : 3,453.45 = 1,398.50 : x
  2. Step 2: Convert to fraction form
    2,502.50/3,453.45 = 1,398.50/x
  3. Step 3: Cross multiply
    2,502.50x = 3,453.45 × 1,398.50
  4. Step 4: Simplify right side
    2,502.50x = 4,829,649.83
  5. Step 5: Solve for x
    x = 4,829,649.83/2,502.50
  6. Step 6: Final answer
    x = 1,929.93

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