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Finding the Fourth Proportional to 2,419.56, 3,605.30 and 2,302.02

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Solution

The fourth proportional to 2,419.56, 3,605.30 and 2,302.02 is: 3,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.56 : 3,605.30 = 2,302.02 : x
  2. Step 2: Convert to fraction form
    2,419.56/3,605.30 = 2,302.02/x
  3. Step 3: Cross multiply
    2,419.56x = 3,605.30 × 2,302.02
  4. Step 4: Simplify right side
    2,419.56x = 8,299,472.71
  5. Step 5: Solve for x
    x = 8,299,472.71/2,419.56
  6. Step 6: Final answer
    x = 3,430.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.