Home / 1,851.02-2,774.68-864.14

Finding the Fourth Proportional to 1,851.02, 2,774.68 and 864.14

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Solution

The fourth proportional to 1,851.02, 2,774.68 and 864.14 is: 1,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.02 : 2,774.68 = 864.14 : x
  2. Step 2: Convert to fraction form
    1,851.02/2,774.68 = 864.14/x
  3. Step 3: Cross multiply
    1,851.02x = 2,774.68 × 864.14
  4. Step 4: Simplify right side
    1,851.02x = 2,397,716.75
  5. Step 5: Solve for x
    x = 2,397,716.75/1,851.02
  6. Step 6: Final answer
    x = 1,295.35

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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.