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Finding the Fourth Proportional to 2,377.84, 3,583 and 1,954.48

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Solution

The fourth proportional to 2,377.84, 3,583 and 1,954.48 is: 2,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.84 : 3,583 = 1,954.48 : x
  2. Step 2: Convert to fraction form
    2,377.84/3,583 = 1,954.48/x
  3. Step 3: Cross multiply
    2,377.84x = 3,583 × 1,954.48
  4. Step 4: Simplify right side
    2,377.84x = 7,002,901.84
  5. Step 5: Solve for x
    x = 7,002,901.84/2,377.84
  6. Step 6: Final answer
    x = 2,945.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.