Home / 2,202.38-3,302.78-1,032.17

Finding the Fourth Proportional to 2,202.38, 3,302.78 and 1,032.17

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Solution

The fourth proportional to 2,202.38, 3,302.78 and 1,032.17 is: 1,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.38 : 3,302.78 = 1,032.17 : x
  2. Step 2: Convert to fraction form
    2,202.38/3,302.78 = 1,032.17/x
  3. Step 3: Cross multiply
    2,202.38x = 3,302.78 × 1,032.17
  4. Step 4: Simplify right side
    2,202.38x = 3,409,033.53
  5. Step 5: Solve for x
    x = 3,409,033.53/2,202.38
  6. Step 6: Final answer
    x = 1,547.89

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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.