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Finding the Fourth Proportional to 1,508.16, 2,259.36 and 1,074

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Solution

The fourth proportional to 1,508.16, 2,259.36 and 1,074 is: 1,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.16 : 2,259.36 = 1,074 : x
  2. Step 2: Convert to fraction form
    1,508.16/2,259.36 = 1,074/x
  3. Step 3: Cross multiply
    1,508.16x = 2,259.36 × 1,074
  4. Step 4: Simplify right side
    1,508.16x = 2,426,552.64
  5. Step 5: Solve for x
    x = 2,426,552.64/1,508.16
  6. Step 6: Final answer
    x = 1,608.95

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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.