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Finding the Fourth Proportional to 4,046.46, 6,070.26 and 1,705

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Solution

The fourth proportional to 4,046.46, 6,070.26 and 1,705 is: 2,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.46 : 6,070.26 = 1,705 : x
  2. Step 2: Convert to fraction form
    4,046.46/6,070.26 = 1,705/x
  3. Step 3: Cross multiply
    4,046.46x = 6,070.26 × 1,705
  4. Step 4: Simplify right side
    4,046.46x = 10,349,793.30
  5. Step 5: Solve for x
    x = 10,349,793.30/4,046.46
  6. Step 6: Final answer
    x = 2,557.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.