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Finding the Fourth Proportional to 2,424.81, 3,652.17 and 2,308.17

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Solution

The fourth proportional to 2,424.81, 3,652.17 and 2,308.17 is: 3,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.81 : 3,652.17 = 2,308.17 : x
  2. Step 2: Convert to fraction form
    2,424.81/3,652.17 = 2,308.17/x
  3. Step 3: Cross multiply
    2,424.81x = 3,652.17 × 2,308.17
  4. Step 4: Simplify right side
    2,424.81x = 8,429,829.23
  5. Step 5: Solve for x
    x = 8,429,829.23/2,424.81
  6. Step 6: Final answer
    x = 3,476.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.