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Finding the Fourth Proportional to 2,214.07, 3,321.42 and 753.46

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Solution

The fourth proportional to 2,214.07, 3,321.42 and 753.46 is: 1,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.07 : 3,321.42 = 753.46 : x
  2. Step 2: Convert to fraction form
    2,214.07/3,321.42 = 753.46/x
  3. Step 3: Cross multiply
    2,214.07x = 3,321.42 × 753.46
  4. Step 4: Simplify right side
    2,214.07x = 2,502,557.11
  5. Step 5: Solve for x
    x = 2,502,557.11/2,214.07
  6. Step 6: Final answer
    x = 1,130.30

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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.