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Finding the Fourth Proportional to 2,962.46, 4,443.77 and 882.45

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Solution

The fourth proportional to 2,962.46, 4,443.77 and 882.45 is: 1,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.46 : 4,443.77 = 882.45 : x
  2. Step 2: Convert to fraction form
    2,962.46/4,443.77 = 882.45/x
  3. Step 3: Cross multiply
    2,962.46x = 4,443.77 × 882.45
  4. Step 4: Simplify right side
    2,962.46x = 3,921,407.04
  5. Step 5: Solve for x
    x = 3,921,407.04/2,962.46
  6. Step 6: Final answer
    x = 1,323.70

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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.