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Finding the Fourth Proportional to 3,044.71, 4,567.63 and 965.24

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Solution

The fourth proportional to 3,044.71, 4,567.63 and 965.24 is: 1,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.71 : 4,567.63 = 965.24 : x
  2. Step 2: Convert to fraction form
    3,044.71/4,567.63 = 965.24/x
  3. Step 3: Cross multiply
    3,044.71x = 4,567.63 × 965.24
  4. Step 4: Simplify right side
    3,044.71x = 4,408,859.18
  5. Step 5: Solve for x
    x = 4,408,859.18/3,044.71
  6. Step 6: Final answer
    x = 1,448.04

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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.