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Finding the Fourth Proportional to 2,346.16, 3,235.56 and 2,014.48

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Solution

The fourth proportional to 2,346.16, 3,235.56 and 2,014.48 is: 2,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.16 : 3,235.56 = 2,014.48 : x
  2. Step 2: Convert to fraction form
    2,346.16/3,235.56 = 2,014.48/x
  3. Step 3: Cross multiply
    2,346.16x = 3,235.56 × 2,014.48
  4. Step 4: Simplify right side
    2,346.16x = 6,517,970.91
  5. Step 5: Solve for x
    x = 6,517,970.91/2,346.16
  6. Step 6: Final answer
    x = 2,778.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.