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Finding the Fourth Proportional to 2,582.50, 3,564.13 and 1,463.76

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Solution

The fourth proportional to 2,582.50, 3,564.13 and 1,463.76 is: 2,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.50 : 3,564.13 = 1,463.76 : x
  2. Step 2: Convert to fraction form
    2,582.50/3,564.13 = 1,463.76/x
  3. Step 3: Cross multiply
    2,582.50x = 3,564.13 × 1,463.76
  4. Step 4: Simplify right side
    2,582.50x = 5,217,030.93
  5. Step 5: Solve for x
    x = 5,217,030.93/2,582.50
  6. Step 6: Final answer
    x = 2,020.15

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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.