Home / 1,895.20-2,842.62-508.49

Finding the Fourth Proportional to 1,895.20, 2,842.62 and 508.49

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Solution

The fourth proportional to 1,895.20, 2,842.62 and 508.49 is: 762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.20 : 2,842.62 = 508.49 : x
  2. Step 2: Convert to fraction form
    1,895.20/2,842.62 = 508.49/x
  3. Step 3: Cross multiply
    1,895.20x = 2,842.62 × 508.49
  4. Step 4: Simplify right side
    1,895.20x = 1,445,429.63
  5. Step 5: Solve for x
    x = 1,445,429.63/1,895.20
  6. Step 6: Final answer
    x = 762.68

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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.