Home / 1,506.15-2,259.27-410.49

Finding the Fourth Proportional to 1,506.15, 2,259.27 and 410.49

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Solution

The fourth proportional to 1,506.15, 2,259.27 and 410.49 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.15 : 2,259.27 = 410.49 : x
  2. Step 2: Convert to fraction form
    1,506.15/2,259.27 = 410.49/x
  3. Step 3: Cross multiply
    1,506.15x = 2,259.27 × 410.49
  4. Step 4: Simplify right side
    1,506.15x = 927,407.74
  5. Step 5: Solve for x
    x = 927,407.74/1,506.15
  6. Step 6: Final answer
    x = 615.75

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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.