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Finding the Fourth Proportional to 2,247.84, 3,104 and 1,410

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Solution

The fourth proportional to 2,247.84, 3,104 and 1,410 is: 1,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.84 : 3,104 = 1,410 : x
  2. Step 2: Convert to fraction form
    2,247.84/3,104 = 1,410/x
  3. Step 3: Cross multiply
    2,247.84x = 3,104 × 1,410
  4. Step 4: Simplify right side
    2,247.84x = 4,376,640
  5. Step 5: Solve for x
    x = 4,376,640/2,247.84
  6. Step 6: Final answer
    x = 1,947.04

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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.