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Finding the Fourth Proportional to 3,042.68, 4,564.83 and 962.74

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Solution

The fourth proportional to 3,042.68, 4,564.83 and 962.74 is: 1,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.68 : 4,564.83 = 962.74 : x
  2. Step 2: Convert to fraction form
    3,042.68/4,564.83 = 962.74/x
  3. Step 3: Cross multiply
    3,042.68x = 4,564.83 × 962.74
  4. Step 4: Simplify right side
    3,042.68x = 4,394,744.43
  5. Step 5: Solve for x
    x = 4,394,744.43/3,042.68
  6. Step 6: Final answer
    x = 1,444.37

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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.