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Finding the Fourth Proportional to 2,698.13, 4,048.47 and 1,543.88

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Solution

The fourth proportional to 2,698.13, 4,048.47 and 1,543.88 is: 2,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.13 : 4,048.47 = 1,543.88 : x
  2. Step 2: Convert to fraction form
    2,698.13/4,048.47 = 1,543.88/x
  3. Step 3: Cross multiply
    2,698.13x = 4,048.47 × 1,543.88
  4. Step 4: Simplify right side
    2,698.13x = 6,250,331.62
  5. Step 5: Solve for x
    x = 6,250,331.62/2,698.13
  6. Step 6: Final answer
    x = 2,316.55

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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.