Home / 2,282.40-3,423.36-983.68

Finding the Fourth Proportional to 2,282.40, 3,423.36 and 983.68

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Solution

The fourth proportional to 2,282.40, 3,423.36 and 983.68 is: 1,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.40 : 3,423.36 = 983.68 : x
  2. Step 2: Convert to fraction form
    2,282.40/3,423.36 = 983.68/x
  3. Step 3: Cross multiply
    2,282.40x = 3,423.36 × 983.68
  4. Step 4: Simplify right side
    2,282.40x = 3,367,490.76
  5. Step 5: Solve for x
    x = 3,367,490.76/2,282.40
  6. Step 6: Final answer
    x = 1,475.42

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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.