Home / 2,282.54-3,423.64-895.62

Finding the Fourth Proportional to 2,282.54, 3,423.64 and 895.62

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Solution

The fourth proportional to 2,282.54, 3,423.64 and 895.62 is: 1,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.54 : 3,423.64 = 895.62 : x
  2. Step 2: Convert to fraction form
    2,282.54/3,423.64 = 895.62/x
  3. Step 3: Cross multiply
    2,282.54x = 3,423.64 × 895.62
  4. Step 4: Simplify right side
    2,282.54x = 3,066,280.46
  5. Step 5: Solve for x
    x = 3,066,280.46/2,282.54
  6. Step 6: Final answer
    x = 1,343.36

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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.