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Finding the Fourth Proportional to 2,582.93, 3,564.40 and 1,463.86

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Solution

The fourth proportional to 2,582.93, 3,564.40 and 1,463.86 is: 2,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.93 : 3,564.40 = 1,463.86 : x
  2. Step 2: Convert to fraction form
    2,582.93/3,564.40 = 1,463.86/x
  3. Step 3: Cross multiply
    2,582.93x = 3,564.40 × 1,463.86
  4. Step 4: Simplify right side
    2,582.93x = 5,217,782.58
  5. Step 5: Solve for x
    x = 5,217,782.58/2,582.93
  6. Step 6: Final answer
    x = 2,020.10

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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.