Home / 1,542.02-2,313.42-811.40

Finding the Fourth Proportional to 1,542.02, 2,313.42 and 811.40

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Solution

The fourth proportional to 1,542.02, 2,313.42 and 811.40 is: 1,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.02 : 2,313.42 = 811.40 : x
  2. Step 2: Convert to fraction form
    1,542.02/2,313.42 = 811.40/x
  3. Step 3: Cross multiply
    1,542.02x = 2,313.42 × 811.40
  4. Step 4: Simplify right side
    1,542.02x = 1,877,108.99
  5. Step 5: Solve for x
    x = 1,877,108.99/1,542.02
  6. Step 6: Final answer
    x = 1,217.31

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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.