Home / 1,506.20-2,259.08-410.66

Finding the Fourth Proportional to 1,506.20, 2,259.08 and 410.66

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Solution

The fourth proportional to 1,506.20, 2,259.08 and 410.66 is: 615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.20 : 2,259.08 = 410.66 : x
  2. Step 2: Convert to fraction form
    1,506.20/2,259.08 = 410.66/x
  3. Step 3: Cross multiply
    1,506.20x = 2,259.08 × 410.66
  4. Step 4: Simplify right side
    1,506.20x = 927,700.44
  5. Step 5: Solve for x
    x = 927,700.44/1,506.20
  6. Step 6: Final answer
    x = 615.92

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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.