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Finding the Fourth Proportional to 2,574.59, 3,553.57 and 1,580.11

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Solution

The fourth proportional to 2,574.59, 3,553.57 and 1,580.11 is: 2,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.59 : 3,553.57 = 1,580.11 : x
  2. Step 2: Convert to fraction form
    2,574.59/3,553.57 = 1,580.11/x
  3. Step 3: Cross multiply
    2,574.59x = 3,553.57 × 1,580.11
  4. Step 4: Simplify right side
    2,574.59x = 5,615,024.58
  5. Step 5: Solve for x
    x = 5,615,024.58/2,574.59
  6. Step 6: Final answer
    x = 2,180.94

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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.