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Finding the Fourth Proportional to 1,585.47, 2,376.27 and 934.23

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Solution

The fourth proportional to 1,585.47, 2,376.27 and 934.23 is: 1,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.47 : 2,376.27 = 934.23 : x
  2. Step 2: Convert to fraction form
    1,585.47/2,376.27 = 934.23/x
  3. Step 3: Cross multiply
    1,585.47x = 2,376.27 × 934.23
  4. Step 4: Simplify right side
    1,585.47x = 2,219,982.72
  5. Step 5: Solve for x
    x = 2,219,982.72/1,585.47
  6. Step 6: Final answer
    x = 1,400.20

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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.