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Finding the Fourth Proportional to 3,179.70, 4,386.74 and 1,984

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Solution

The fourth proportional to 3,179.70, 4,386.74 and 1,984 is: 2,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.70 : 4,386.74 = 1,984 : x
  2. Step 2: Convert to fraction form
    3,179.70/4,386.74 = 1,984/x
  3. Step 3: Cross multiply
    3,179.70x = 4,386.74 × 1,984
  4. Step 4: Simplify right side
    3,179.70x = 8,703,292.16
  5. Step 5: Solve for x
    x = 8,703,292.16/3,179.70
  6. Step 6: Final answer
    x = 2,737.14

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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.