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Finding the Fourth Proportional to 2,582.91, 3,564.47 and 1,534.97

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Solution

The fourth proportional to 2,582.91, 3,564.47 and 1,534.97 is: 2,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.91 : 3,564.47 = 1,534.97 : x
  2. Step 2: Convert to fraction form
    2,582.91/3,564.47 = 1,534.97/x
  3. Step 3: Cross multiply
    2,582.91x = 3,564.47 × 1,534.97
  4. Step 4: Simplify right side
    2,582.91x = 5,471,354.52
  5. Step 5: Solve for x
    x = 5,471,354.52/2,582.91
  6. Step 6: Final answer
    x = 2,118.29

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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.