Home / 2,424.07-3,635.34-780.25

Finding the Fourth Proportional to 2,424.07, 3,635.34 and 780.25

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Solution

The fourth proportional to 2,424.07, 3,635.34 and 780.25 is: 1,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.07 : 3,635.34 = 780.25 : x
  2. Step 2: Convert to fraction form
    2,424.07/3,635.34 = 780.25/x
  3. Step 3: Cross multiply
    2,424.07x = 3,635.34 × 780.25
  4. Step 4: Simplify right side
    2,424.07x = 2,836,474.04
  5. Step 5: Solve for x
    x = 2,836,474.04/2,424.07
  6. Step 6: Final answer
    x = 1,170.13

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1.5x scale

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.