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Finding the Fourth Proportional to 3,017.70, 4,164.31 and 1,758.82

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Solution

The fourth proportional to 3,017.70, 4,164.31 and 1,758.82 is: 2,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.70 : 4,164.31 = 1,758.82 : x
  2. Step 2: Convert to fraction form
    3,017.70/4,164.31 = 1,758.82/x
  3. Step 3: Cross multiply
    3,017.70x = 4,164.31 × 1,758.82
  4. Step 4: Simplify right side
    3,017.70x = 7,324,271.71
  5. Step 5: Solve for x
    x = 7,324,271.71/3,017.70
  6. Step 6: Final answer
    x = 2,427.10

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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.