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Finding the Fourth Proportional to 2,713.84, 4,070.88 and 766.19

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Solution

The fourth proportional to 2,713.84, 4,070.88 and 766.19 is: 1,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.84 : 4,070.88 = 766.19 : x
  2. Step 2: Convert to fraction form
    2,713.84/4,070.88 = 766.19/x
  3. Step 3: Cross multiply
    2,713.84x = 4,070.88 × 766.19
  4. Step 4: Simplify right side
    2,713.84x = 3,119,077.72
  5. Step 5: Solve for x
    x = 3,119,077.72/2,713.84
  6. Step 6: Final answer
    x = 1,149.32

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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.