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Finding the Fourth Proportional to 3,032.64, 4,184.04 and 1,706.12

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Solution

The fourth proportional to 3,032.64, 4,184.04 and 1,706.12 is: 2,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.64 : 4,184.04 = 1,706.12 : x
  2. Step 2: Convert to fraction form
    3,032.64/4,184.04 = 1,706.12/x
  3. Step 3: Cross multiply
    3,032.64x = 4,184.04 × 1,706.12
  4. Step 4: Simplify right side
    3,032.64x = 7,138,474.32
  5. Step 5: Solve for x
    x = 7,138,474.32/3,032.64
  6. Step 6: Final answer
    x = 2,353.88

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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.