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Finding the Fourth Proportional to 2,962.70, 4,444.07 and 882.65

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Solution

The fourth proportional to 2,962.70, 4,444.07 and 882.65 is: 1,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.70 : 4,444.07 = 882.65 : x
  2. Step 2: Convert to fraction form
    2,962.70/4,444.07 = 882.65/x
  3. Step 3: Cross multiply
    2,962.70x = 4,444.07 × 882.65
  4. Step 4: Simplify right side
    2,962.70x = 3,922,558.39
  5. Step 5: Solve for x
    x = 3,922,558.39/2,962.70
  6. Step 6: Final answer
    x = 1,323.98

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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.