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Finding the Fourth Proportional to 3,261.60, 4,501.44 and 2,214

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Solution

The fourth proportional to 3,261.60, 4,501.44 and 2,214 is: 3,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.60 : 4,501.44 = 2,214 : x
  2. Step 2: Convert to fraction form
    3,261.60/4,501.44 = 2,214/x
  3. Step 3: Cross multiply
    3,261.60x = 4,501.44 × 2,214
  4. Step 4: Simplify right side
    3,261.60x = 9,966,188.16
  5. Step 5: Solve for x
    x = 9,966,188.16/3,261.60
  6. Step 6: Final answer
    x = 3,055.61

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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.