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Finding the Fourth Proportional to 2,290.65, 3,435.96 and 1,468.10

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Solution

The fourth proportional to 2,290.65, 3,435.96 and 1,468.10 is: 2,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.65 : 3,435.96 = 1,468.10 : x
  2. Step 2: Convert to fraction form
    2,290.65/3,435.96 = 1,468.10/x
  3. Step 3: Cross multiply
    2,290.65x = 3,435.96 × 1,468.10
  4. Step 4: Simplify right side
    2,290.65x = 5,044,315.70
  5. Step 5: Solve for x
    x = 5,044,315.70/2,290.65
  6. Step 6: Final answer
    x = 2,202.13

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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.