Home / 1,542.02-2,313.26-501.82

Finding the Fourth Proportional to 1,542.02, 2,313.26 and 501.82

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Solution

The fourth proportional to 1,542.02, 2,313.26 and 501.82 is: 752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.02 : 2,313.26 = 501.82 : x
  2. Step 2: Convert to fraction form
    1,542.02/2,313.26 = 501.82/x
  3. Step 3: Cross multiply
    1,542.02x = 2,313.26 × 501.82
  4. Step 4: Simplify right side
    1,542.02x = 1,160,840.13
  5. Step 5: Solve for x
    x = 1,160,840.13/1,542.02
  6. Step 6: Final answer
    x = 752.80

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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.