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Finding the Fourth Proportional to 2,535.66, 3,803.67 and 976.41

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Solution

The fourth proportional to 2,535.66, 3,803.67 and 976.41 is: 1,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.66 : 3,803.67 = 976.41 : x
  2. Step 2: Convert to fraction form
    2,535.66/3,803.67 = 976.41/x
  3. Step 3: Cross multiply
    2,535.66x = 3,803.67 × 976.41
  4. Step 4: Simplify right side
    2,535.66x = 3,713,941.42
  5. Step 5: Solve for x
    x = 3,713,941.42/2,535.66
  6. Step 6: Final answer
    x = 1,464.68

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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.