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Finding the Fourth Proportional to 2,442.88, 3,665.52 and 983.08

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Solution

The fourth proportional to 2,442.88, 3,665.52 and 983.08 is: 1,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.88 : 3,665.52 = 983.08 : x
  2. Step 2: Convert to fraction form
    2,442.88/3,665.52 = 983.08/x
  3. Step 3: Cross multiply
    2,442.88x = 3,665.52 × 983.08
  4. Step 4: Simplify right side
    2,442.88x = 3,603,499.40
  5. Step 5: Solve for x
    x = 3,603,499.40/2,442.88
  6. Step 6: Final answer
    x = 1,475.10

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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.