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Finding the Fourth Proportional to 2,937.84, 4,402.62 and 2,318.82

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Solution

The fourth proportional to 2,937.84, 4,402.62 and 2,318.82 is: 3,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.84 : 4,402.62 = 2,318.82 : x
  2. Step 2: Convert to fraction form
    2,937.84/4,402.62 = 2,318.82/x
  3. Step 3: Cross multiply
    2,937.84x = 4,402.62 × 2,318.82
  4. Step 4: Simplify right side
    2,937.84x = 10,208,883.31
  5. Step 5: Solve for x
    x = 10,208,883.31/2,937.84
  6. Step 6: Final answer
    x = 3,474.96

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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.