Home / 1,427.40-1,966.14-1,206.18

Finding the Fourth Proportional to 1,427.40, 1,966.14 and 1,206.18

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Solution

The fourth proportional to 1,427.40, 1,966.14 and 1,206.18 is: 1,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.40 : 1,966.14 = 1,206.18 : x
  2. Step 2: Convert to fraction form
    1,427.40/1,966.14 = 1,206.18/x
  3. Step 3: Cross multiply
    1,427.40x = 1,966.14 × 1,206.18
  4. Step 4: Simplify right side
    1,427.40x = 2,371,518.75
  5. Step 5: Solve for x
    x = 2,371,518.75/1,427.40
  6. Step 6: Final answer
    x = 1,661.43

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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.