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Finding the Fourth Proportional to 1,871.14, 2,806.71 and 830.90

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Solution

The fourth proportional to 1,871.14, 2,806.71 and 830.90 is: 1,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.14 : 2,806.71 = 830.90 : x
  2. Step 2: Convert to fraction form
    1,871.14/2,806.71 = 830.90/x
  3. Step 3: Cross multiply
    1,871.14x = 2,806.71 × 830.90
  4. Step 4: Simplify right side
    1,871.14x = 2,332,095.34
  5. Step 5: Solve for x
    x = 2,332,095.34/1,871.14
  6. Step 6: Final answer
    x = 1,246.35

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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.