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Finding the Fourth Proportional to 2,711.58, 4,043.69 and 2,412.93

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Solution

The fourth proportional to 2,711.58, 4,043.69 and 2,412.93 is: 3,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.58 : 4,043.69 = 2,412.93 : x
  2. Step 2: Convert to fraction form
    2,711.58/4,043.69 = 2,412.93/x
  3. Step 3: Cross multiply
    2,711.58x = 4,043.69 × 2,412.93
  4. Step 4: Simplify right side
    2,711.58x = 9,757,140.91
  5. Step 5: Solve for x
    x = 9,757,140.91/2,711.58
  6. Step 6: Final answer
    x = 3,598.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.