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Finding the Fourth Proportional to 1,866.10, 2,573.87 and 1,158.35

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Solution

The fourth proportional to 1,866.10, 2,573.87 and 1,158.35 is: 1,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.10 : 2,573.87 = 1,158.35 : x
  2. Step 2: Convert to fraction form
    1,866.10/2,573.87 = 1,158.35/x
  3. Step 3: Cross multiply
    1,866.10x = 2,573.87 × 1,158.35
  4. Step 4: Simplify right side
    1,866.10x = 2,981,442.96
  5. Step 5: Solve for x
    x = 2,981,442.96/1,866.10
  6. Step 6: Final answer
    x = 1,597.69

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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.