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Finding the Fourth Proportional to 2,699.47, 4,051.59 and 1,468.09

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Solution

The fourth proportional to 2,699.47, 4,051.59 and 1,468.09 is: 2,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.47 : 4,051.59 = 1,468.09 : x
  2. Step 2: Convert to fraction form
    2,699.47/4,051.59 = 1,468.09/x
  3. Step 3: Cross multiply
    2,699.47x = 4,051.59 × 1,468.09
  4. Step 4: Simplify right side
    2,699.47x = 5,948,098.76
  5. Step 5: Solve for x
    x = 5,948,098.76/2,699.47
  6. Step 6: Final answer
    x = 2,203.43

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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.