Home / 2,025-2,794.50-1,140.80

Finding the Fourth Proportional to 2,025, 2,794.50 and 1,140.80

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Solution

The fourth proportional to 2,025, 2,794.50 and 1,140.80 is: 1,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025 : 2,794.50 = 1,140.80 : x
  2. Step 2: Convert to fraction form
    2,025/2,794.50 = 1,140.80/x
  3. Step 3: Cross multiply
    2,025x = 2,794.50 × 1,140.80
  4. Step 4: Simplify right side
    2,025x = 3,187,951.63
  5. Step 5: Solve for x
    x = 3,187,951.63/2,025
  6. Step 6: Final answer
    x = 1,574.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.