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Finding the Fourth Proportional to 1,518.68, 2,275.63 and 1,105.92

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Solution

The fourth proportional to 1,518.68, 2,275.63 and 1,105.92 is: 1,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.68 : 2,275.63 = 1,105.92 : x
  2. Step 2: Convert to fraction form
    1,518.68/2,275.63 = 1,105.92/x
  3. Step 3: Cross multiply
    1,518.68x = 2,275.63 × 1,105.92
  4. Step 4: Simplify right side
    1,518.68x = 2,516,661.96
  5. Step 5: Solve for x
    x = 2,516,661.96/1,518.68
  6. Step 6: Final answer
    x = 1,657.14

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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.