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Finding the Fourth Proportional to 1,746.97, 2,410.82 and 961.02

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Solution

The fourth proportional to 1,746.97, 2,410.82 and 961.02 is: 1,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.97 : 2,410.82 = 961.02 : x
  2. Step 2: Convert to fraction form
    1,746.97/2,410.82 = 961.02/x
  3. Step 3: Cross multiply
    1,746.97x = 2,410.82 × 961.02
  4. Step 4: Simplify right side
    1,746.97x = 2,316,829.38
  5. Step 5: Solve for x
    x = 2,316,829.38/1,746.97
  6. Step 6: Final answer
    x = 1,326.20

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1.5x scale

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.