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Finding the Fourth Proportional to 2,406.96, 3,609.32 and 1,020

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Solution

The fourth proportional to 2,406.96, 3,609.32 and 1,020 is: 1,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.96 : 3,609.32 = 1,020 : x
  2. Step 2: Convert to fraction form
    2,406.96/3,609.32 = 1,020/x
  3. Step 3: Cross multiply
    2,406.96x = 3,609.32 × 1,020
  4. Step 4: Simplify right side
    2,406.96x = 3,681,506.40
  5. Step 5: Solve for x
    x = 3,681,506.40/2,406.96
  6. Step 6: Final answer
    x = 1,529.53

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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.