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Finding the Fourth Proportional to 2,582.70, 3,564.08 and 1,403.74

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Solution

The fourth proportional to 2,582.70, 3,564.08 and 1,403.74 is: 1,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.70 : 3,564.08 = 1,403.74 : x
  2. Step 2: Convert to fraction form
    2,582.70/3,564.08 = 1,403.74/x
  3. Step 3: Cross multiply
    2,582.70x = 3,564.08 × 1,403.74
  4. Step 4: Simplify right side
    2,582.70x = 5,003,034.64
  5. Step 5: Solve for x
    x = 5,003,034.64/2,582.70
  6. Step 6: Final answer
    x = 1,937.14

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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.