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Finding the Fourth Proportional to 2,582.76, 3,564.21 and 1,403.83

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Solution

The fourth proportional to 2,582.76, 3,564.21 and 1,403.83 is: 1,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.76 : 3,564.21 = 1,403.83 : x
  2. Step 2: Convert to fraction form
    2,582.76/3,564.21 = 1,403.83/x
  3. Step 3: Cross multiply
    2,582.76x = 3,564.21 × 1,403.83
  4. Step 4: Simplify right side
    2,582.76x = 5,003,541.28
  5. Step 5: Solve for x
    x = 5,003,541.28/2,582.76
  6. Step 6: Final answer
    x = 1,937.28

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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.