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Finding the Fourth Proportional to 2,086.65, 3,129.92 and 526.70

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Solution

The fourth proportional to 2,086.65, 3,129.92 and 526.70 is: 790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.65 : 3,129.92 = 526.70 : x
  2. Step 2: Convert to fraction form
    2,086.65/3,129.92 = 526.70/x
  3. Step 3: Cross multiply
    2,086.65x = 3,129.92 × 526.70
  4. Step 4: Simplify right side
    2,086.65x = 1,648,534.55
  5. Step 5: Solve for x
    x = 1,648,534.55/2,086.65
  6. Step 6: Final answer
    x = 790.04

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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.