Home / 1,506.24-2,259.06-410.46

Finding the Fourth Proportional to 1,506.24, 2,259.06 and 410.46

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Solution

The fourth proportional to 1,506.24, 2,259.06 and 410.46 is: 615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.24 : 2,259.06 = 410.46 : x
  2. Step 2: Convert to fraction form
    1,506.24/2,259.06 = 410.46/x
  3. Step 3: Cross multiply
    1,506.24x = 2,259.06 × 410.46
  4. Step 4: Simplify right side
    1,506.24x = 927,253.77
  5. Step 5: Solve for x
    x = 927,253.77/1,506.24
  6. Step 6: Final answer
    x = 615.61

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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.