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Finding the Fourth Proportional to 2,017.31, 3,024.14 and 976.66

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Solution

The fourth proportional to 2,017.31, 3,024.14 and 976.66 is: 1,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.31 : 3,024.14 = 976.66 : x
  2. Step 2: Convert to fraction form
    2,017.31/3,024.14 = 976.66/x
  3. Step 3: Cross multiply
    2,017.31x = 3,024.14 × 976.66
  4. Step 4: Simplify right side
    2,017.31x = 2,953,544.13
  5. Step 5: Solve for x
    x = 2,953,544.13/2,017.31
  6. Step 6: Final answer
    x = 1,464.10

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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.