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Finding the Fourth Proportional to 4,442.08, 6,663 and 1,155.06

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Solution

The fourth proportional to 4,442.08, 6,663 and 1,155.06 is: 1,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.08 : 6,663 = 1,155.06 : x
  2. Step 2: Convert to fraction form
    4,442.08/6,663 = 1,155.06/x
  3. Step 3: Cross multiply
    4,442.08x = 6,663 × 1,155.06
  4. Step 4: Simplify right side
    4,442.08x = 7,696,164.78
  5. Step 5: Solve for x
    x = 7,696,164.78/4,442.08
  6. Step 6: Final answer
    x = 1,732.56

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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.