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Finding the Fourth Proportional to 1,746.75, 2,410.86 and 1,001.21

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Solution

The fourth proportional to 1,746.75, 2,410.86 and 1,001.21 is: 1,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.75 : 2,410.86 = 1,001.21 : x
  2. Step 2: Convert to fraction form
    1,746.75/2,410.86 = 1,001.21/x
  3. Step 3: Cross multiply
    1,746.75x = 2,410.86 × 1,001.21
  4. Step 4: Simplify right side
    1,746.75x = 2,413,777.14
  5. Step 5: Solve for x
    x = 2,413,777.14/1,746.75
  6. Step 6: Final answer
    x = 1,381.87

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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.