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Finding the Fourth Proportional to 3,134.93, 4,693.16 and 2,316.85

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Solution

The fourth proportional to 3,134.93, 4,693.16 and 2,316.85 is: 3,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.93 : 4,693.16 = 2,316.85 : x
  2. Step 2: Convert to fraction form
    3,134.93/4,693.16 = 2,316.85/x
  3. Step 3: Cross multiply
    3,134.93x = 4,693.16 × 2,316.85
  4. Step 4: Simplify right side
    3,134.93x = 10,873,341.81
  5. Step 5: Solve for x
    x = 10,873,341.81/3,134.93
  6. Step 6: Final answer
    x = 3,468.45

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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.