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Finding the Fourth Proportional to 2,330.51, 3,496.25 and 686.92

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Solution

The fourth proportional to 2,330.51, 3,496.25 and 686.92 is: 1,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.51 : 3,496.25 = 686.92 : x
  2. Step 2: Convert to fraction form
    2,330.51/3,496.25 = 686.92/x
  3. Step 3: Cross multiply
    2,330.51x = 3,496.25 × 686.92
  4. Step 4: Simplify right side
    2,330.51x = 2,401,644.05
  5. Step 5: Solve for x
    x = 2,401,644.05/2,330.51
  6. Step 6: Final answer
    x = 1,030.52

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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.