Home / 1,537.17-2,305.77-382.92

Finding the Fourth Proportional to 1,537.17, 2,305.77 and 382.92

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Solution

The fourth proportional to 1,537.17, 2,305.77 and 382.92 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.17 : 2,305.77 = 382.92 : x
  2. Step 2: Convert to fraction form
    1,537.17/2,305.77 = 382.92/x
  3. Step 3: Cross multiply
    1,537.17x = 2,305.77 × 382.92
  4. Step 4: Simplify right side
    1,537.17x = 882,930.26
  5. Step 5: Solve for x
    x = 882,930.26/1,537.17
  6. Step 6: Final answer
    x = 574.39

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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.