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Finding the Fourth Proportional to 2,777.53, 4,165.38 and 928.10

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Solution

The fourth proportional to 2,777.53, 4,165.38 and 928.10 is: 1,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.53 : 4,165.38 = 928.10 : x
  2. Step 2: Convert to fraction form
    2,777.53/4,165.38 = 928.10/x
  3. Step 3: Cross multiply
    2,777.53x = 4,165.38 × 928.10
  4. Step 4: Simplify right side
    2,777.53x = 3,865,868.35
  5. Step 5: Solve for x
    x = 3,865,868.35/2,777.53
  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.