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Finding the Fourth Proportional to 3,044.68, 4,567.66 and 965.28

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Solution

The fourth proportional to 3,044.68, 4,567.66 and 965.28 is: 1,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.68 : 4,567.66 = 965.28 : x
  2. Step 2: Convert to fraction form
    3,044.68/4,567.66 = 965.28/x
  3. Step 3: Cross multiply
    3,044.68x = 4,567.66 × 965.28
  4. Step 4: Simplify right side
    3,044.68x = 4,409,070.84
  5. Step 5: Solve for x
    x = 4,409,070.84/3,044.68
  6. Step 6: Final answer
    x = 1,448.12

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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.