Home / 1,534.02-2,297.25-882.78

Finding the Fourth Proportional to 1,534.02, 2,297.25 and 882.78

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Solution

The fourth proportional to 1,534.02, 2,297.25 and 882.78 is: 1,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.02 : 2,297.25 = 882.78 : x
  2. Step 2: Convert to fraction form
    1,534.02/2,297.25 = 882.78/x
  3. Step 3: Cross multiply
    1,534.02x = 2,297.25 × 882.78
  4. Step 4: Simplify right side
    1,534.02x = 2,027,966.36
  5. Step 5: Solve for x
    x = 2,027,966.36/1,534.02
  6. Step 6: Final answer
    x = 1,321.99

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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.