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Finding the Fourth Proportional to 2,712.60, 4,068.12 and 765

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Solution

The fourth proportional to 2,712.60, 4,068.12 and 765 is: 1,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.60 : 4,068.12 = 765 : x
  2. Step 2: Convert to fraction form
    2,712.60/4,068.12 = 765/x
  3. Step 3: Cross multiply
    2,712.60x = 4,068.12 × 765
  4. Step 4: Simplify right side
    2,712.60x = 3,112,111.80
  5. Step 5: Solve for x
    x = 3,112,111.80/2,712.60
  6. Step 6: Final answer
    x = 1,147.28

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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.