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Finding the Fourth Proportional to 1,761.04, 2,641.56 and 992.08

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Solution

The fourth proportional to 1,761.04, 2,641.56 and 992.08 is: 1,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.04 : 2,641.56 = 992.08 : x
  2. Step 2: Convert to fraction form
    1,761.04/2,641.56 = 992.08/x
  3. Step 3: Cross multiply
    1,761.04x = 2,641.56 × 992.08
  4. Step 4: Simplify right side
    1,761.04x = 2,620,638.84
  5. Step 5: Solve for x
    x = 2,620,638.84/1,761.04
  6. Step 6: Final answer
    x = 1,488.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.