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Finding the Fourth Proportional to 2,698.76, 4,048.13 and 1,543.70

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Solution

The fourth proportional to 2,698.76, 4,048.13 and 1,543.70 is: 2,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.76 : 4,048.13 = 1,543.70 : x
  2. Step 2: Convert to fraction form
    2,698.76/4,048.13 = 1,543.70/x
  3. Step 3: Cross multiply
    2,698.76x = 4,048.13 × 1,543.70
  4. Step 4: Simplify right side
    2,698.76x = 6,249,070.32
  5. Step 5: Solve for x
    x = 6,249,070.32/2,698.76
  6. Step 6: Final answer
    x = 2,315.54

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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.