Home / 2,123.10-3,184.65-971.10

Finding the Fourth Proportional to 2,123.10, 3,184.65 and 971.10

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Solution

The fourth proportional to 2,123.10, 3,184.65 and 971.10 is: 1,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.10 : 3,184.65 = 971.10 : x
  2. Step 2: Convert to fraction form
    2,123.10/3,184.65 = 971.10/x
  3. Step 3: Cross multiply
    2,123.10x = 3,184.65 × 971.10
  4. Step 4: Simplify right side
    2,123.10x = 3,092,613.62
  5. Step 5: Solve for x
    x = 3,092,613.62/2,123.10
  6. Step 6: Final answer
    x = 1,456.65

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Similar ratio
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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.