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Finding the Fourth Proportional to 1,867.64, 2,801.45 and 866.88

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Solution

The fourth proportional to 1,867.64, 2,801.45 and 866.88 is: 1,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.64 : 2,801.45 = 866.88 : x
  2. Step 2: Convert to fraction form
    1,867.64/2,801.45 = 866.88/x
  3. Step 3: Cross multiply
    1,867.64x = 2,801.45 × 866.88
  4. Step 4: Simplify right side
    1,867.64x = 2,428,523.14
  5. Step 5: Solve for x
    x = 2,428,523.14/1,867.64
  6. Step 6: Final answer
    x = 1,300.32

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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.