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Finding the Fourth Proportional to 2,405.68, 3,317.62 and 1,658.44

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Solution

The fourth proportional to 2,405.68, 3,317.62 and 1,658.44 is: 2,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.68 : 3,317.62 = 1,658.44 : x
  2. Step 2: Convert to fraction form
    2,405.68/3,317.62 = 1,658.44/x
  3. Step 3: Cross multiply
    2,405.68x = 3,317.62 × 1,658.44
  4. Step 4: Simplify right side
    2,405.68x = 5,502,073.71
  5. Step 5: Solve for x
    x = 5,502,073.71/2,405.68
  6. Step 6: Final answer
    x = 2,287.12

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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.