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Finding the Fourth Proportional to 2,937.34, 4,402.96 and 988.88

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Solution

The fourth proportional to 2,937.34, 4,402.96 and 988.88 is: 1,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.34 : 4,402.96 = 988.88 : x
  2. Step 2: Convert to fraction form
    2,937.34/4,402.96 = 988.88/x
  3. Step 3: Cross multiply
    2,937.34x = 4,402.96 × 988.88
  4. Step 4: Simplify right side
    2,937.34x = 4,353,999.08
  5. Step 5: Solve for x
    x = 4,353,999.08/2,937.34
  6. Step 6: Final answer
    x = 1,482.29

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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.