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Finding the Fourth Proportional to 3,049.61, 4,207.86 and 1,705.10

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Solution

The fourth proportional to 3,049.61, 4,207.86 and 1,705.10 is: 2,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.61 : 4,207.86 = 1,705.10 : x
  2. Step 2: Convert to fraction form
    3,049.61/4,207.86 = 1,705.10/x
  3. Step 3: Cross multiply
    3,049.61x = 4,207.86 × 1,705.10
  4. Step 4: Simplify right side
    3,049.61x = 7,174,801.05
  5. Step 5: Solve for x
    x = 7,174,801.05/3,049.61
  6. Step 6: Final answer
    x = 2,352.70

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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.