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Finding the Fourth Proportional to 2,865.70, 4,298.55 and 1,713.70

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Solution

The fourth proportional to 2,865.70, 4,298.55 and 1,713.70 is: 2,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.70 : 4,298.55 = 1,713.70 : x
  2. Step 2: Convert to fraction form
    2,865.70/4,298.55 = 1,713.70/x
  3. Step 3: Cross multiply
    2,865.70x = 4,298.55 × 1,713.70
  4. Step 4: Simplify right side
    2,865.70x = 7,366,425.14
  5. Step 5: Solve for x
    x = 7,366,425.14/2,865.70
  6. Step 6: Final answer
    x = 2,570.55

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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.