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Finding the Fourth Proportional to 4,047.80, 6,071.70 and 1,707.18

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Solution

The fourth proportional to 4,047.80, 6,071.70 and 1,707.18 is: 2,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.80 : 6,071.70 = 1,707.18 : x
  2. Step 2: Convert to fraction form
    4,047.80/6,071.70 = 1,707.18/x
  3. Step 3: Cross multiply
    4,047.80x = 6,071.70 × 1,707.18
  4. Step 4: Simplify right side
    4,047.80x = 10,365,512.57
  5. Step 5: Solve for x
    x = 10,365,512.57/4,047.80
  6. Step 6: Final answer
    x = 2,560.78

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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.