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Finding the Fourth Proportional to 3,154.69, 4,357.12 and 2,158.22

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Solution

The fourth proportional to 3,154.69, 4,357.12 and 2,158.22 is: 2,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.69 : 4,357.12 = 2,158.22 : x
  2. Step 2: Convert to fraction form
    3,154.69/4,357.12 = 2,158.22/x
  3. Step 3: Cross multiply
    3,154.69x = 4,357.12 × 2,158.22
  4. Step 4: Simplify right side
    3,154.69x = 9,403,623.53
  5. Step 5: Solve for x
    x = 9,403,623.53/3,154.69
  6. Step 6: Final answer
    x = 2,980.84

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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.