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Finding the Fourth Proportional to 3,119.13, 4,678.65 and 927.90

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Solution

The fourth proportional to 3,119.13, 4,678.65 and 927.90 is: 1,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.13 : 4,678.65 = 927.90 : x
  2. Step 2: Convert to fraction form
    3,119.13/4,678.65 = 927.90/x
  3. Step 3: Cross multiply
    3,119.13x = 4,678.65 × 927.90
  4. Step 4: Simplify right side
    3,119.13x = 4,341,319.34
  5. Step 5: Solve for x
    x = 4,341,319.34/3,119.13
  6. Step 6: Final answer
    x = 1,391.84

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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.