Home / 1,451.36-2,002.14-861.68

Finding the Fourth Proportional to 1,451.36, 2,002.14 and 861.68

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Solution

The fourth proportional to 1,451.36, 2,002.14 and 861.68 is: 1,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.36 : 2,002.14 = 861.68 : x
  2. Step 2: Convert to fraction form
    1,451.36/2,002.14 = 861.68/x
  3. Step 3: Cross multiply
    1,451.36x = 2,002.14 × 861.68
  4. Step 4: Simplify right side
    1,451.36x = 1,725,193.98
  5. Step 5: Solve for x
    x = 1,725,193.98/1,451.36
  6. Step 6: Final answer
    x = 1,188.68

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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.