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Finding the Fourth Proportional to 2,962.42, 4,444.50 and 882.49

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Solution

The fourth proportional to 2,962.42, 4,444.50 and 882.49 is: 1,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.42 : 4,444.50 = 882.49 : x
  2. Step 2: Convert to fraction form
    2,962.42/4,444.50 = 882.49/x
  3. Step 3: Cross multiply
    2,962.42x = 4,444.50 × 882.49
  4. Step 4: Simplify right side
    2,962.42x = 3,922,226.81
  5. Step 5: Solve for x
    x = 3,922,226.81/2,962.42
  6. Step 6: Final answer
    x = 1,323.99

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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.