Home / 2,282.50-3,423.93-895.74

Finding the Fourth Proportional to 2,282.50, 3,423.93 and 895.74

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Solution

The fourth proportional to 2,282.50, 3,423.93 and 895.74 is: 1,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.50 : 3,423.93 = 895.74 : x
  2. Step 2: Convert to fraction form
    2,282.50/3,423.93 = 895.74/x
  3. Step 3: Cross multiply
    2,282.50x = 3,423.93 × 895.74
  4. Step 4: Simplify right side
    2,282.50x = 3,066,951.06
  5. Step 5: Solve for x
    x = 3,066,951.06/2,282.50
  6. Step 6: Final answer
    x = 1,343.68

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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.