Home / 1,660.10-2,290.78-913.87

Finding the Fourth Proportional to 1,660.10, 2,290.78 and 913.87

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Solution

The fourth proportional to 1,660.10, 2,290.78 and 913.87 is: 1,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.10 : 2,290.78 = 913.87 : x
  2. Step 2: Convert to fraction form
    1,660.10/2,290.78 = 913.87/x
  3. Step 3: Cross multiply
    1,660.10x = 2,290.78 × 913.87
  4. Step 4: Simplify right side
    1,660.10x = 2,093,475.12
  5. Step 5: Solve for x
    x = 2,093,475.12/1,660.10
  6. Step 6: Final answer
    x = 1,261.05

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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.