Home / 1,508.02-2,262.36-814.66

Finding the Fourth Proportional to 1,508.02, 2,262.36 and 814.66

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Solution

The fourth proportional to 1,508.02, 2,262.36 and 814.66 is: 1,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.02 : 2,262.36 = 814.66 : x
  2. Step 2: Convert to fraction form
    1,508.02/2,262.36 = 814.66/x
  3. Step 3: Cross multiply
    1,508.02x = 2,262.36 × 814.66
  4. Step 4: Simplify right side
    1,508.02x = 1,843,042.89
  5. Step 5: Solve for x
    x = 1,843,042.89/1,508.02
  6. Step 6: Final answer
    x = 1,222.16

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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.