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Finding the Fourth Proportional to 2,129.65, 2,932.83 and 1,539.25

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Solution

The fourth proportional to 2,129.65, 2,932.83 and 1,539.25 is: 2,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.65 : 2,932.83 = 1,539.25 : x
  2. Step 2: Convert to fraction form
    2,129.65/2,932.83 = 1,539.25/x
  3. Step 3: Cross multiply
    2,129.65x = 2,932.83 × 1,539.25
  4. Step 4: Simplify right side
    2,129.65x = 4,514,358.58
  5. Step 5: Solve for x
    x = 4,514,358.58/2,129.65
  6. Step 6: Final answer
    x = 2,119.77

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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.