Home / 1,466.20-2,199.40-541.74

Finding the Fourth Proportional to 1,466.20, 2,199.40 and 541.74

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Solution

The fourth proportional to 1,466.20, 2,199.40 and 541.74 is: 812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.20 : 2,199.40 = 541.74 : x
  2. Step 2: Convert to fraction form
    1,466.20/2,199.40 = 541.74/x
  3. Step 3: Cross multiply
    1,466.20x = 2,199.40 × 541.74
  4. Step 4: Simplify right side
    1,466.20x = 1,191,500.53
  5. Step 5: Solve for x
    x = 1,191,500.53/1,466.20
  6. Step 6: Final answer
    x = 812.64

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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.