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Finding the Fourth Proportional to 2,527.81, 3,488.27 and 1,864.42

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Solution

The fourth proportional to 2,527.81, 3,488.27 and 1,864.42 is: 2,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.81 : 3,488.27 = 1,864.42 : x
  2. Step 2: Convert to fraction form
    2,527.81/3,488.27 = 1,864.42/x
  3. Step 3: Cross multiply
    2,527.81x = 3,488.27 × 1,864.42
  4. Step 4: Simplify right side
    2,527.81x = 6,503,582.31
  5. Step 5: Solve for x
    x = 6,503,582.31/2,527.81
  6. Step 6: Final answer
    x = 2,572.82

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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.