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Finding the Fourth Proportional to 2,582.73, 3,564.16 and 1,403.79

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Solution

The fourth proportional to 2,582.73, 3,564.16 and 1,403.79 is: 1,937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.73 : 3,564.16 = 1,403.79 : x
  2. Step 2: Convert to fraction form
    2,582.73/3,564.16 = 1,403.79/x
  3. Step 3: Cross multiply
    2,582.73x = 3,564.16 × 1,403.79
  4. Step 4: Simplify right side
    2,582.73x = 5,003,332.17
  5. Step 5: Solve for x
    x = 5,003,332.17/2,582.73
  6. Step 6: Final answer
    x = 1,937.23

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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.