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Finding the Fourth Proportional to 2,827.85, 3,902.65 and 1,648.98

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Solution

The fourth proportional to 2,827.85, 3,902.65 and 1,648.98 is: 2,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.85 : 3,902.65 = 1,648.98 : x
  2. Step 2: Convert to fraction form
    2,827.85/3,902.65 = 1,648.98/x
  3. Step 3: Cross multiply
    2,827.85x = 3,902.65 × 1,648.98
  4. Step 4: Simplify right side
    2,827.85x = 6,435,387.67
  5. Step 5: Solve for x
    x = 6,435,387.67/2,827.85
  6. Step 6: Final answer
    x = 2,275.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.