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Finding the Fourth Proportional to 1,585.53, 2,375.01 and 935.91

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Solution

The fourth proportional to 1,585.53, 2,375.01 and 935.91 is: 1,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.53 : 2,375.01 = 935.91 : x
  2. Step 2: Convert to fraction form
    1,585.53/2,375.01 = 935.91/x
  3. Step 3: Cross multiply
    1,585.53x = 2,375.01 × 935.91
  4. Step 4: Simplify right side
    1,585.53x = 2,222,795.61
  5. Step 5: Solve for x
    x = 2,222,795.61/1,585.53
  6. Step 6: Final answer
    x = 1,401.93

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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.