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Finding the Fourth Proportional to 2,698.59, 3,724.08 and 1,580.19

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Solution

The fourth proportional to 2,698.59, 3,724.08 and 1,580.19 is: 2,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.59 : 3,724.08 = 1,580.19 : x
  2. Step 2: Convert to fraction form
    2,698.59/3,724.08 = 1,580.19/x
  3. Step 3: Cross multiply
    2,698.59x = 3,724.08 × 1,580.19
  4. Step 4: Simplify right side
    2,698.59x = 5,884,753.98
  5. Step 5: Solve for x
    x = 5,884,753.98/2,698.59
  6. Step 6: Final answer
    x = 2,180.68

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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.