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Finding the Fourth Proportional to 2,103.80, 3,152.46 and 870.98

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Solution

The fourth proportional to 2,103.80, 3,152.46 and 870.98 is: 1,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.80 : 3,152.46 = 870.98 : x
  2. Step 2: Convert to fraction form
    2,103.80/3,152.46 = 870.98/x
  3. Step 3: Cross multiply
    2,103.80x = 3,152.46 × 870.98
  4. Step 4: Simplify right side
    2,103.80x = 2,745,729.61
  5. Step 5: Solve for x
    x = 2,745,729.61/2,103.80
  6. Step 6: Final answer
    x = 1,305.13

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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.