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Finding the Fourth Proportional to 2,141.92, 3,214.80 and 988

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Solution

The fourth proportional to 2,141.92, 3,214.80 and 988 is: 1,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.92 : 3,214.80 = 988 : x
  2. Step 2: Convert to fraction form
    2,141.92/3,214.80 = 988/x
  3. Step 3: Cross multiply
    2,141.92x = 3,214.80 × 988
  4. Step 4: Simplify right side
    2,141.92x = 3,176,222.40
  5. Step 5: Solve for x
    x = 3,176,222.40/2,141.92
  6. Step 6: Final answer
    x = 1,482.89

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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.