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Finding the Fourth Proportional to 3,119.79, 4,679.58 and 928.53

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Solution

The fourth proportional to 3,119.79, 4,679.58 and 928.53 is: 1,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.79 : 4,679.58 = 928.53 : x
  2. Step 2: Convert to fraction form
    3,119.79/4,679.58 = 928.53/x
  3. Step 3: Cross multiply
    3,119.79x = 4,679.58 × 928.53
  4. Step 4: Simplify right side
    3,119.79x = 4,345,130.42
  5. Step 5: Solve for x
    x = 4,345,130.42/3,119.79
  6. Step 6: Final answer
    x = 1,392.76

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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.