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Finding the Fourth Proportional to 1,325.39, 1,827.29 and 1,140.86

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Solution

The fourth proportional to 1,325.39, 1,827.29 and 1,140.86 is: 1,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.39 : 1,827.29 = 1,140.86 : x
  2. Step 2: Convert to fraction form
    1,325.39/1,827.29 = 1,140.86/x
  3. Step 3: Cross multiply
    1,325.39x = 1,827.29 × 1,140.86
  4. Step 4: Simplify right side
    1,325.39x = 2,084,675.79
  5. Step 5: Solve for x
    x = 2,084,675.79/1,325.39
  6. Step 6: Final answer
    x = 1,572.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.