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Finding the Fourth Proportional to 1,645.62, 2,272.84 and 1,120.74

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Solution

The fourth proportional to 1,645.62, 2,272.84 and 1,120.74 is: 1,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.62 : 2,272.84 = 1,120.74 : x
  2. Step 2: Convert to fraction form
    1,645.62/2,272.84 = 1,120.74/x
  3. Step 3: Cross multiply
    1,645.62x = 2,272.84 × 1,120.74
  4. Step 4: Simplify right side
    1,645.62x = 2,547,262.70
  5. Step 5: Solve for x
    x = 2,547,262.70/1,645.62
  6. Step 6: Final answer
    x = 1,547.90

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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.