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Finding the Fourth Proportional to 2,103.03, 3,154.02 and 870.78

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Solution

The fourth proportional to 2,103.03, 3,154.02 and 870.78 is: 1,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.03 : 3,154.02 = 870.78 : x
  2. Step 2: Convert to fraction form
    2,103.03/3,154.02 = 870.78/x
  3. Step 3: Cross multiply
    2,103.03x = 3,154.02 × 870.78
  4. Step 4: Simplify right side
    2,103.03x = 2,746,457.54
  5. Step 5: Solve for x
    x = 2,746,457.54/2,103.03
  6. Step 6: Final answer
    x = 1,305.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.