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Finding the Fourth Proportional to 1,585.08, 2,375.04 and 1,152.48

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Solution

The fourth proportional to 1,585.08, 2,375.04 and 1,152.48 is: 1,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.08 : 2,375.04 = 1,152.48 : x
  2. Step 2: Convert to fraction form
    1,585.08/2,375.04 = 1,152.48/x
  3. Step 3: Cross multiply
    1,585.08x = 2,375.04 × 1,152.48
  4. Step 4: Simplify right side
    1,585.08x = 2,737,186.10
  5. Step 5: Solve for x
    x = 2,737,186.10/1,585.08
  6. Step 6: Final answer
    x = 1,726.84

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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.