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Finding the Fourth Proportional to 2,987.63, 4,122.99 and 1,728.71

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Solution

The fourth proportional to 2,987.63, 4,122.99 and 1,728.71 is: 2,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.63 : 4,122.99 = 1,728.71 : x
  2. Step 2: Convert to fraction form
    2,987.63/4,122.99 = 1,728.71/x
  3. Step 3: Cross multiply
    2,987.63x = 4,122.99 × 1,728.71
  4. Step 4: Simplify right side
    2,987.63x = 7,127,454.04
  5. Step 5: Solve for x
    x = 7,127,454.04/2,987.63
  6. Step 6: Final answer
    x = 2,385.65

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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.