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Finding the Fourth Proportional to 2,669, 3,683.52 and 1,549.72

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Solution

The fourth proportional to 2,669, 3,683.52 and 1,549.72 is: 2,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669 : 3,683.52 = 1,549.72 : x
  2. Step 2: Convert to fraction form
    2,669/3,683.52 = 1,549.72/x
  3. Step 3: Cross multiply
    2,669x = 3,683.52 × 1,549.72
  4. Step 4: Simplify right side
    2,669x = 5,708,424.61
  5. Step 5: Solve for x
    x = 5,708,424.61/2,669
  6. Step 6: Final answer
    x = 2,138.79

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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.