Home / 2,280.78-3,420-1,047.14

Finding the Fourth Proportional to 2,280.78, 3,420 and 1,047.14

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Solution

The fourth proportional to 2,280.78, 3,420 and 1,047.14 is: 1,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.78 : 3,420 = 1,047.14 : x
  2. Step 2: Convert to fraction form
    2,280.78/3,420 = 1,047.14/x
  3. Step 3: Cross multiply
    2,280.78x = 3,420 × 1,047.14
  4. Step 4: Simplify right side
    2,280.78x = 3,581,218.80
  5. Step 5: Solve for x
    x = 3,581,218.80/2,280.78
  6. Step 6: Final answer
    x = 1,570.17

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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.