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Finding the Fourth Proportional to 3,042.76, 4,563.91 and 962.84

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Solution

The fourth proportional to 3,042.76, 4,563.91 and 962.84 is: 1,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.76 : 4,563.91 = 962.84 : x
  2. Step 2: Convert to fraction form
    3,042.76/4,563.91 = 962.84/x
  3. Step 3: Cross multiply
    3,042.76x = 4,563.91 × 962.84
  4. Step 4: Simplify right side
    3,042.76x = 4,394,315.10
  5. Step 5: Solve for x
    x = 4,394,315.10/3,042.76
  6. Step 6: Final answer
    x = 1,444.19

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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.