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Finding the Fourth Proportional to 4,302.19, 6,453.29 and 1,224.19

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Solution

The fourth proportional to 4,302.19, 6,453.29 and 1,224.19 is: 1,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.19 : 6,453.29 = 1,224.19 : x
  2. Step 2: Convert to fraction form
    4,302.19/6,453.29 = 1,224.19/x
  3. Step 3: Cross multiply
    4,302.19x = 6,453.29 × 1,224.19
  4. Step 4: Simplify right side
    4,302.19x = 7,900,030.83
  5. Step 5: Solve for x
    x = 7,900,030.83/4,302.19
  6. Step 6: Final answer
    x = 1,836.28

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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.