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Finding the Fourth Proportional to 1,585.00, 2,377.52 and 610.88

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Solution

The fourth proportional to 1,585.00, 2,377.52 and 610.88 is: 916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.00 : 2,377.52 = 610.88 : x
  2. Step 2: Convert to fraction form
    1,585.00/2,377.52 = 610.88/x
  3. Step 3: Cross multiply
    1,585.00x = 2,377.52 × 610.88
  4. Step 4: Simplify right side
    1,585.00x = 1,452,366.77
  5. Step 5: Solve for x
    x = 1,452,366.77/1,585.00
  6. Step 6: Final answer
    x = 916.32

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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.