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Finding the Fourth Proportional to 1,642.64, 2,267.16 and 1,053.92

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Solution

The fourth proportional to 1,642.64, 2,267.16 and 1,053.92 is: 1,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.64 : 2,267.16 = 1,053.92 : x
  2. Step 2: Convert to fraction form
    1,642.64/2,267.16 = 1,053.92/x
  3. Step 3: Cross multiply
    1,642.64x = 2,267.16 × 1,053.92
  4. Step 4: Simplify right side
    1,642.64x = 2,389,405.27
  5. Step 5: Solve for x
    x = 2,389,405.27/1,642.64
  6. Step 6: Final answer
    x = 1,454.61

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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.