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Finding the Fourth Proportional to 2,142.72, 3,214.40 and 910.13

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Solution

The fourth proportional to 2,142.72, 3,214.40 and 910.13 is: 1,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.72 : 3,214.40 = 910.13 : x
  2. Step 2: Convert to fraction form
    2,142.72/3,214.40 = 910.13/x
  3. Step 3: Cross multiply
    2,142.72x = 3,214.40 × 910.13
  4. Step 4: Simplify right side
    2,142.72x = 2,925,501.25
  5. Step 5: Solve for x
    x = 2,925,501.25/2,142.72
  6. Step 6: Final answer
    x = 1,365.32

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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.