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Finding the Fourth Proportional to 2,145.87, 3,218.85 and 686.10

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Solution

The fourth proportional to 2,145.87, 3,218.85 and 686.10 is: 1,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.87 : 3,218.85 = 686.10 : x
  2. Step 2: Convert to fraction form
    2,145.87/3,218.85 = 686.10/x
  3. Step 3: Cross multiply
    2,145.87x = 3,218.85 × 686.10
  4. Step 4: Simplify right side
    2,145.87x = 2,208,452.99
  5. Step 5: Solve for x
    x = 2,208,452.99/2,145.87
  6. Step 6: Final answer
    x = 1,029.16

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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.