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Finding the Fourth Proportional to 2,914.74, 4,369.02 and 1,988

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Solution

The fourth proportional to 2,914.74, 4,369.02 and 1,988 is: 2,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.74 : 4,369.02 = 1,988 : x
  2. Step 2: Convert to fraction form
    2,914.74/4,369.02 = 1,988/x
  3. Step 3: Cross multiply
    2,914.74x = 4,369.02 × 1,988
  4. Step 4: Simplify right side
    2,914.74x = 8,685,611.76
  5. Step 5: Solve for x
    x = 8,685,611.76/2,914.74
  6. Step 6: Final answer
    x = 2,979.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.