Home / 2,102.12-3,153.18-869.20

Finding the Fourth Proportional to 2,102.12, 3,153.18 and 869.20

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Solution

The fourth proportional to 2,102.12, 3,153.18 and 869.20 is: 1,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.12 : 3,153.18 = 869.20 : x
  2. Step 2: Convert to fraction form
    2,102.12/3,153.18 = 869.20/x
  3. Step 3: Cross multiply
    2,102.12x = 3,153.18 × 869.20
  4. Step 4: Simplify right side
    2,102.12x = 2,740,734.54
  5. Step 5: Solve for x
    x = 2,740,734.54/2,102.12
  6. Step 6: Final answer
    x = 1,303.80

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1.5x scale

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.