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Finding the Fourth Proportional to 2,752.60, 4,127.46 and 804.28

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Solution

The fourth proportional to 2,752.60, 4,127.46 and 804.28 is: 1,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.60 : 4,127.46 = 804.28 : x
  2. Step 2: Convert to fraction form
    2,752.60/4,127.46 = 804.28/x
  3. Step 3: Cross multiply
    2,752.60x = 4,127.46 × 804.28
  4. Step 4: Simplify right side
    2,752.60x = 3,319,633.53
  5. Step 5: Solve for x
    x = 3,319,633.53/2,752.60
  6. Step 6: Final answer
    x = 1,206.00

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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.