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Finding the Fourth Proportional to 1,807.28, 2,713.08 and 1,077.20

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Solution

The fourth proportional to 1,807.28, 2,713.08 and 1,077.20 is: 1,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.28 : 2,713.08 = 1,077.20 : x
  2. Step 2: Convert to fraction form
    1,807.28/2,713.08 = 1,077.20/x
  3. Step 3: Cross multiply
    1,807.28x = 2,713.08 × 1,077.20
  4. Step 4: Simplify right side
    1,807.28x = 2,922,524.39
  5. Step 5: Solve for x
    x = 2,922,524.39/1,807.28
  6. Step 6: Final answer
    x = 1,617.08

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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.