Home / 2,452.02-3,678.48-808.68

Finding the Fourth Proportional to 2,452.02, 3,678.48 and 808.68

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Solution

The fourth proportional to 2,452.02, 3,678.48 and 808.68 is: 1,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.02 : 3,678.48 = 808.68 : x
  2. Step 2: Convert to fraction form
    2,452.02/3,678.48 = 808.68/x
  3. Step 3: Cross multiply
    2,452.02x = 3,678.48 × 808.68
  4. Step 4: Simplify right side
    2,452.02x = 2,974,706.31
  5. Step 5: Solve for x
    x = 2,974,706.31/2,452.02
  6. Step 6: Final answer
    x = 1,213.17

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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.