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Finding the Fourth Proportional to 1,508.59, 2,085.70 and 1,137.47

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Solution

The fourth proportional to 1,508.59, 2,085.70 and 1,137.47 is: 1,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.59 : 2,085.70 = 1,137.47 : x
  2. Step 2: Convert to fraction form
    1,508.59/2,085.70 = 1,137.47/x
  3. Step 3: Cross multiply
    1,508.59x = 2,085.70 × 1,137.47
  4. Step 4: Simplify right side
    1,508.59x = 2,372,421.18
  5. Step 5: Solve for x
    x = 2,372,421.18/1,508.59
  6. Step 6: Final answer
    x = 1,572.61

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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.