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Finding the Fourth Proportional to 2,713.94, 4,070.55 and 766.31

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Solution

The fourth proportional to 2,713.94, 4,070.55 and 766.31 is: 1,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.94 : 4,070.55 = 766.31 : x
  2. Step 2: Convert to fraction form
    2,713.94/4,070.55 = 766.31/x
  3. Step 3: Cross multiply
    2,713.94x = 4,070.55 × 766.31
  4. Step 4: Simplify right side
    2,713.94x = 3,119,303.17
  5. Step 5: Solve for x
    x = 3,119,303.17/2,713.94
  6. Step 6: Final answer
    x = 1,149.36

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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.