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Finding the Fourth Proportional to 2,024.61, 3,038.27 and 985.11

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Solution

The fourth proportional to 2,024.61, 3,038.27 and 985.11 is: 1,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.61 : 3,038.27 = 985.11 : x
  2. Step 2: Convert to fraction form
    2,024.61/3,038.27 = 985.11/x
  3. Step 3: Cross multiply
    2,024.61x = 3,038.27 × 985.11
  4. Step 4: Simplify right side
    2,024.61x = 2,993,025.23
  5. Step 5: Solve for x
    x = 2,993,025.23/2,024.61
  6. Step 6: Final answer
    x = 1,478.32

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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.