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Finding the Fourth Proportional to 2,785.03, 4,176.12 and 836.98

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Solution

The fourth proportional to 2,785.03, 4,176.12 and 836.98 is: 1,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.03 : 4,176.12 = 836.98 : x
  2. Step 2: Convert to fraction form
    2,785.03/4,176.12 = 836.98/x
  3. Step 3: Cross multiply
    2,785.03x = 4,176.12 × 836.98
  4. Step 4: Simplify right side
    2,785.03x = 3,495,328.92
  5. Step 5: Solve for x
    x = 3,495,328.92/2,785.03
  6. Step 6: Final answer
    x = 1,255.04

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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.