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Finding the Fourth Proportional to 1,746.86, 2,410.70 and 960.95

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Solution

The fourth proportional to 1,746.86, 2,410.70 and 960.95 is: 1,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.86 : 2,410.70 = 960.95 : x
  2. Step 2: Convert to fraction form
    1,746.86/2,410.70 = 960.95/x
  3. Step 3: Cross multiply
    1,746.86x = 2,410.70 × 960.95
  4. Step 4: Simplify right side
    1,746.86x = 2,316,563.39
  5. Step 5: Solve for x
    x = 2,316,563.39/1,746.86
  6. Step 6: Final answer
    x = 1,326.13

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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.