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Finding the Fourth Proportional to 2,287.59, 3,430.17 and 1,053.95

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Solution

The fourth proportional to 2,287.59, 3,430.17 and 1,053.95 is: 1,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.59 : 3,430.17 = 1,053.95 : x
  2. Step 2: Convert to fraction form
    2,287.59/3,430.17 = 1,053.95/x
  3. Step 3: Cross multiply
    2,287.59x = 3,430.17 × 1,053.95
  4. Step 4: Simplify right side
    2,287.59x = 3,615,227.96
  5. Step 5: Solve for x
    x = 3,615,227.96/2,287.59
  6. Step 6: Final answer
    x = 1,580.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.