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Finding the Fourth Proportional to 1,671.84, 2,509.36 and 806.76

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Solution

The fourth proportional to 1,671.84, 2,509.36 and 806.76 is: 1,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.84 : 2,509.36 = 806.76 : x
  2. Step 2: Convert to fraction form
    1,671.84/2,509.36 = 806.76/x
  3. Step 3: Cross multiply
    1,671.84x = 2,509.36 × 806.76
  4. Step 4: Simplify right side
    1,671.84x = 2,024,449.26
  5. Step 5: Solve for x
    x = 2,024,449.26/1,671.84
  6. Step 6: Final answer
    x = 1,210.91

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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.