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Finding the Fourth Proportional to 1,585.73, 2,375.86 and 1,423.07

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Solution

The fourth proportional to 1,585.73, 2,375.86 and 1,423.07 is: 2,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.73 : 2,375.86 = 1,423.07 : x
  2. Step 2: Convert to fraction form
    1,585.73/2,375.86 = 1,423.07/x
  3. Step 3: Cross multiply
    1,585.73x = 2,375.86 × 1,423.07
  4. Step 4: Simplify right side
    1,585.73x = 3,381,007.23
  5. Step 5: Solve for x
    x = 3,381,007.23/1,585.73
  6. Step 6: Final answer
    x = 2,132.15

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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.