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Finding the Fourth Proportional to 2,870.80, 4,306.32 and 1,714

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Solution

The fourth proportional to 2,870.80, 4,306.32 and 1,714 is: 2,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.80 : 4,306.32 = 1,714 : x
  2. Step 2: Convert to fraction form
    2,870.80/4,306.32 = 1,714/x
  3. Step 3: Cross multiply
    2,870.80x = 4,306.32 × 1,714
  4. Step 4: Simplify right side
    2,870.80x = 7,381,032.48
  5. Step 5: Solve for x
    x = 7,381,032.48/2,870.80
  6. Step 6: Final answer
    x = 2,571.07

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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.