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Finding the Fourth Proportional to 2,288.84, 3,431.70 and 807.71

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Solution

The fourth proportional to 2,288.84, 3,431.70 and 807.71 is: 1,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.84 : 3,431.70 = 807.71 : x
  2. Step 2: Convert to fraction form
    2,288.84/3,431.70 = 807.71/x
  3. Step 3: Cross multiply
    2,288.84x = 3,431.70 × 807.71
  4. Step 4: Simplify right side
    2,288.84x = 2,771,801.25
  5. Step 5: Solve for x
    x = 2,771,801.25/2,288.84
  6. Step 6: Final answer
    x = 1,211.01

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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.