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Finding the Fourth Proportional to 2,103.12, 3,156.09 and 870.51

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Solution

The fourth proportional to 2,103.12, 3,156.09 and 870.51 is: 1,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.12 : 3,156.09 = 870.51 : x
  2. Step 2: Convert to fraction form
    2,103.12/3,156.09 = 870.51/x
  3. Step 3: Cross multiply
    2,103.12x = 3,156.09 × 870.51
  4. Step 4: Simplify right side
    2,103.12x = 2,747,407.91
  5. Step 5: Solve for x
    x = 2,747,407.91/2,103.12
  6. Step 6: Final answer
    x = 1,306.35

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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.