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Finding the Fourth Proportional to 1,585.14, 2,378.12 and 610.92

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Solution

The fourth proportional to 1,585.14, 2,378.12 and 610.92 is: 916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.14 : 2,378.12 = 610.92 : x
  2. Step 2: Convert to fraction form
    1,585.14/2,378.12 = 610.92/x
  3. Step 3: Cross multiply
    1,585.14x = 2,378.12 × 610.92
  4. Step 4: Simplify right side
    1,585.14x = 1,452,841.07
  5. Step 5: Solve for x
    x = 1,452,841.07/1,585.14
  6. Step 6: Final answer
    x = 916.54

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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.