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Finding the Fourth Proportional to 1,585.55, 2,365.32 and 1,540.86

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Solution

The fourth proportional to 1,585.55, 2,365.32 and 1,540.86 is: 2,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.55 : 2,365.32 = 1,540.86 : x
  2. Step 2: Convert to fraction form
    1,585.55/2,365.32 = 1,540.86/x
  3. Step 3: Cross multiply
    1,585.55x = 2,365.32 × 1,540.86
  4. Step 4: Simplify right side
    1,585.55x = 3,644,626.98
  5. Step 5: Solve for x
    x = 3,644,626.98/1,585.55
  6. Step 6: Final answer
    x = 2,298.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.