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Finding the Fourth Proportional to 1,407.46, 1,944.14 and 1,079.93

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Solution

The fourth proportional to 1,407.46, 1,944.14 and 1,079.93 is: 1,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.46 : 1,944.14 = 1,079.93 : x
  2. Step 2: Convert to fraction form
    1,407.46/1,944.14 = 1,079.93/x
  3. Step 3: Cross multiply
    1,407.46x = 1,944.14 × 1,079.93
  4. Step 4: Simplify right side
    1,407.46x = 2,099,543.68
  5. Step 5: Solve for x
    x = 2,099,543.68/1,407.46
  6. Step 6: Final answer
    x = 1,491.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.