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Finding the Fourth Proportional to 2,290.67, 3,158.18 and 2,259.69

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Solution

The fourth proportional to 2,290.67, 3,158.18 and 2,259.69 is: 3,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.67 : 3,158.18 = 2,259.69 : x
  2. Step 2: Convert to fraction form
    2,290.67/3,158.18 = 2,259.69/x
  3. Step 3: Cross multiply
    2,290.67x = 3,158.18 × 2,259.69
  4. Step 4: Simplify right side
    2,290.67x = 7,136,507.76
  5. Step 5: Solve for x
    x = 7,136,507.76/2,290.67
  6. Step 6: Final answer
    x = 3,115.47

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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.