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Finding the Fourth Proportional to 2,477.89, 3,718.28 and 939.97

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Solution

The fourth proportional to 2,477.89, 3,718.28 and 939.97 is: 1,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.89 : 3,718.28 = 939.97 : x
  2. Step 2: Convert to fraction form
    2,477.89/3,718.28 = 939.97/x
  3. Step 3: Cross multiply
    2,477.89x = 3,718.28 × 939.97
  4. Step 4: Simplify right side
    2,477.89x = 3,495,071.65
  5. Step 5: Solve for x
    x = 3,495,071.65/2,477.89
  6. Step 6: Final answer
    x = 1,410.50

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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.