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Finding the Fourth Proportional to 2,214.76, 3,326.98 and 2,140.96

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Solution

The fourth proportional to 2,214.76, 3,326.98 and 2,140.96 is: 3,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.76 : 3,326.98 = 2,140.96 : x
  2. Step 2: Convert to fraction form
    2,214.76/3,326.98 = 2,140.96/x
  3. Step 3: Cross multiply
    2,214.76x = 3,326.98 × 2,140.96
  4. Step 4: Simplify right side
    2,214.76x = 7,122,931.10
  5. Step 5: Solve for x
    x = 7,122,931.10/2,214.76
  6. Step 6: Final answer
    x = 3,216.12

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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.