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Finding the Fourth Proportional to 2,346.10, 3,516.99 and 1,046.86

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Solution

The fourth proportional to 2,346.10, 3,516.99 and 1,046.86 is: 1,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.10 : 3,516.99 = 1,046.86 : x
  2. Step 2: Convert to fraction form
    2,346.10/3,516.99 = 1,046.86/x
  3. Step 3: Cross multiply
    2,346.10x = 3,516.99 × 1,046.86
  4. Step 4: Simplify right side
    2,346.10x = 3,681,796.15
  5. Step 5: Solve for x
    x = 3,681,796.15/2,346.10
  6. Step 6: Final answer
    x = 1,569.33

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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.