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Finding the Fourth Proportional to 3,154.69, 4,354.49 and 2,034.76

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Solution

The fourth proportional to 3,154.69, 4,354.49 and 2,034.76 is: 2,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.69 : 4,354.49 = 2,034.76 : x
  2. Step 2: Convert to fraction form
    3,154.69/4,354.49 = 2,034.76/x
  3. Step 3: Cross multiply
    3,154.69x = 4,354.49 × 2,034.76
  4. Step 4: Simplify right side
    3,154.69x = 8,860,368.02
  5. Step 5: Solve for x
    x = 8,860,368.02/3,154.69
  6. Step 6: Final answer
    x = 2,808.63

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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.