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Finding the Fourth Proportional to 1,746.61, 2,410.35 and 960.70

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Solution

The fourth proportional to 1,746.61, 2,410.35 and 960.70 is: 1,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.61 : 2,410.35 = 960.70 : x
  2. Step 2: Convert to fraction form
    1,746.61/2,410.35 = 960.70/x
  3. Step 3: Cross multiply
    1,746.61x = 2,410.35 × 960.70
  4. Step 4: Simplify right side
    1,746.61x = 2,315,623.25
  5. Step 5: Solve for x
    x = 2,315,623.25/1,746.61
  6. Step 6: Final answer
    x = 1,325.78

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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.