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Finding the Fourth Proportional to 2,698.41, 3,723.85 and 1,580.16

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Solution

The fourth proportional to 2,698.41, 3,723.85 and 1,580.16 is: 2,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.41 : 3,723.85 = 1,580.16 : x
  2. Step 2: Convert to fraction form
    2,698.41/3,723.85 = 1,580.16/x
  3. Step 3: Cross multiply
    2,698.41x = 3,723.85 × 1,580.16
  4. Step 4: Simplify right side
    2,698.41x = 5,884,278.82
  5. Step 5: Solve for x
    x = 5,884,278.82/2,698.41
  6. Step 6: Final answer
    x = 2,180.65

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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.