Home / 1,213.30-1,822.65-1,164.10

Finding the Fourth Proportional to 1,213.30, 1,822.65 and 1,164.10

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Solution

The fourth proportional to 1,213.30, 1,822.65 and 1,164.10 is: 1,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.30 : 1,822.65 = 1,164.10 : x
  2. Step 2: Convert to fraction form
    1,213.30/1,822.65 = 1,164.10/x
  3. Step 3: Cross multiply
    1,213.30x = 1,822.65 × 1,164.10
  4. Step 4: Simplify right side
    1,213.30x = 2,121,746.87
  5. Step 5: Solve for x
    x = 2,121,746.87/1,213.30
  6. Step 6: Final answer
    x = 1,748.74

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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.