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Finding the Fourth Proportional to 2,785.42, 4,178.28 and 937.10

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Solution

The fourth proportional to 2,785.42, 4,178.28 and 937.10 is: 1,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.42 : 4,178.28 = 937.10 : x
  2. Step 2: Convert to fraction form
    2,785.42/4,178.28 = 937.10/x
  3. Step 3: Cross multiply
    2,785.42x = 4,178.28 × 937.10
  4. Step 4: Simplify right side
    2,785.42x = 3,915,480.15
  5. Step 5: Solve for x
    x = 3,915,480.15/2,785.42
  6. Step 6: Final answer
    x = 1,405.70

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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.