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Finding the Fourth Proportional to 2,535.24, 3,803.46 and 780.18

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Solution

The fourth proportional to 2,535.24, 3,803.46 and 780.18 is: 1,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.24 : 3,803.46 = 780.18 : x
  2. Step 2: Convert to fraction form
    2,535.24/3,803.46 = 780.18/x
  3. Step 3: Cross multiply
    2,535.24x = 3,803.46 × 780.18
  4. Step 4: Simplify right side
    2,535.24x = 2,967,383.42
  5. Step 5: Solve for x
    x = 2,967,383.42/2,535.24
  6. Step 6: Final answer
    x = 1,170.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.