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Finding the Fourth Proportional to 1,507.97, 2,081.06 and 910.66

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Solution

The fourth proportional to 1,507.97, 2,081.06 and 910.66 is: 1,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.97 : 2,081.06 = 910.66 : x
  2. Step 2: Convert to fraction form
    1,507.97/2,081.06 = 910.66/x
  3. Step 3: Cross multiply
    1,507.97x = 2,081.06 × 910.66
  4. Step 4: Simplify right side
    1,507.97x = 1,895,138.10
  5. Step 5: Solve for x
    x = 1,895,138.10/1,507.97
  6. Step 6: Final answer
    x = 1,256.75

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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.