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Finding the Fourth Proportional to 1,316.32, 1,824.24 and 1,291.76

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Solution

The fourth proportional to 1,316.32, 1,824.24 and 1,291.76 is: 1,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.32 : 1,824.24 = 1,291.76 : x
  2. Step 2: Convert to fraction form
    1,316.32/1,824.24 = 1,291.76/x
  3. Step 3: Cross multiply
    1,316.32x = 1,824.24 × 1,291.76
  4. Step 4: Simplify right side
    1,316.32x = 2,356,480.26
  5. Step 5: Solve for x
    x = 2,356,480.26/1,316.32
  6. Step 6: Final answer
    x = 1,790.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.