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Finding the Fourth Proportional to 3,407.77, 4,700.81 and 2,146.66

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Solution

The fourth proportional to 3,407.77, 4,700.81 and 2,146.66 is: 2,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.77 : 4,700.81 = 2,146.66 : x
  2. Step 2: Convert to fraction form
    3,407.77/4,700.81 = 2,146.66/x
  3. Step 3: Cross multiply
    3,407.77x = 4,700.81 × 2,146.66
  4. Step 4: Simplify right side
    3,407.77x = 10,091,040.79
  5. Step 5: Solve for x
    x = 10,091,040.79/3,407.77
  6. Step 6: Final answer
    x = 2,961.19

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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.