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Finding the Fourth Proportional to 4,867.91, 7,301.97 and 1,580.99

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Solution

The fourth proportional to 4,867.91, 7,301.97 and 1,580.99 is: 2,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.91 : 7,301.97 = 1,580.99 : x
  2. Step 2: Convert to fraction form
    4,867.91/7,301.97 = 1,580.99/x
  3. Step 3: Cross multiply
    4,867.91x = 7,301.97 × 1,580.99
  4. Step 4: Simplify right side
    4,867.91x = 11,544,341.55
  5. Step 5: Solve for x
    x = 11,544,341.55/4,867.91
  6. Step 6: Final answer
    x = 2,371.52

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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.