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Finding the Fourth Proportional to 2,938.72, 4,054.08 and 1,696

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Solution

The fourth proportional to 2,938.72, 4,054.08 and 1,696 is: 2,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.72 : 4,054.08 = 1,696 : x
  2. Step 2: Convert to fraction form
    2,938.72/4,054.08 = 1,696/x
  3. Step 3: Cross multiply
    2,938.72x = 4,054.08 × 1,696
  4. Step 4: Simplify right side
    2,938.72x = 6,875,719.68
  5. Step 5: Solve for x
    x = 6,875,719.68/2,938.72
  6. Step 6: Final answer
    x = 2,339.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.