Home / 1,601.76-2,209.55-1,025.78

Finding the Fourth Proportional to 1,601.76, 2,209.55 and 1,025.78

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Solution

The fourth proportional to 1,601.76, 2,209.55 and 1,025.78 is: 1,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.76 : 2,209.55 = 1,025.78 : x
  2. Step 2: Convert to fraction form
    1,601.76/2,209.55 = 1,025.78/x
  3. Step 3: Cross multiply
    1,601.76x = 2,209.55 × 1,025.78
  4. Step 4: Simplify right side
    1,601.76x = 2,266,496.02
  5. Step 5: Solve for x
    x = 2,266,496.02/1,601.76
  6. Step 6: Final answer
    x = 1,415.00

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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.