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Finding the Fourth Proportional to 3,093.90, 4,641.12 and 1,146.12

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Solution

The fourth proportional to 3,093.90, 4,641.12 and 1,146.12 is: 1,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.90 : 4,641.12 = 1,146.12 : x
  2. Step 2: Convert to fraction form
    3,093.90/4,641.12 = 1,146.12/x
  3. Step 3: Cross multiply
    3,093.90x = 4,641.12 × 1,146.12
  4. Step 4: Simplify right side
    3,093.90x = 5,319,280.45
  5. Step 5: Solve for x
    x = 5,319,280.45/3,093.90
  6. Step 6: Final answer
    x = 1,719.28

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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.