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Finding the Fourth Proportional to 2,347.02, 3,233.24 and 2,178.54

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Solution

The fourth proportional to 2,347.02, 3,233.24 and 2,178.54 is: 3,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.02 : 3,233.24 = 2,178.54 : x
  2. Step 2: Convert to fraction form
    2,347.02/3,233.24 = 2,178.54/x
  3. Step 3: Cross multiply
    2,347.02x = 3,233.24 × 2,178.54
  4. Step 4: Simplify right side
    2,347.02x = 7,043,742.67
  5. Step 5: Solve for x
    x = 7,043,742.67/2,347.02
  6. Step 6: Final answer
    x = 3,001.14

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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.