Home / 2,138.19-3,206.67-1,411.62

Finding the Fourth Proportional to 2,138.19, 3,206.67 and 1,411.62

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Solution

The fourth proportional to 2,138.19, 3,206.67 and 1,411.62 is: 2,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.19 : 3,206.67 = 1,411.62 : x
  2. Step 2: Convert to fraction form
    2,138.19/3,206.67 = 1,411.62/x
  3. Step 3: Cross multiply
    2,138.19x = 3,206.67 × 1,411.62
  4. Step 4: Simplify right side
    2,138.19x = 4,526,599.51
  5. Step 5: Solve for x
    x = 4,526,599.51/2,138.19
  6. Step 6: Final answer
    x = 2,117.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.