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Finding the Fourth Proportional to 2,103.71, 3,154.99 and 870.82

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Solution

The fourth proportional to 2,103.71, 3,154.99 and 870.82 is: 1,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.71 : 3,154.99 = 870.82 : x
  2. Step 2: Convert to fraction form
    2,103.71/3,154.99 = 870.82/x
  3. Step 3: Cross multiply
    2,103.71x = 3,154.99 × 870.82
  4. Step 4: Simplify right side
    2,103.71x = 2,747,430.16
  5. Step 5: Solve for x
    x = 2,747,430.16/2,103.71
  6. Step 6: Final answer
    x = 1,305.99

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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.