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Finding the Fourth Proportional to 1,292.76, 1,785.24 and 1,176.12

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Solution

The fourth proportional to 1,292.76, 1,785.24 and 1,176.12 is: 1,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.76 : 1,785.24 = 1,176.12 : x
  2. Step 2: Convert to fraction form
    1,292.76/1,785.24 = 1,176.12/x
  3. Step 3: Cross multiply
    1,292.76x = 1,785.24 × 1,176.12
  4. Step 4: Simplify right side
    1,292.76x = 2,099,656.47
  5. Step 5: Solve for x
    x = 2,099,656.47/1,292.76
  6. Step 6: Final answer
    x = 1,624.17

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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.