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Finding the Fourth Proportional to 2,431.42, 3,648.61 and 970.45

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Solution

The fourth proportional to 2,431.42, 3,648.61 and 970.45 is: 1,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.42 : 3,648.61 = 970.45 : x
  2. Step 2: Convert to fraction form
    2,431.42/3,648.61 = 970.45/x
  3. Step 3: Cross multiply
    2,431.42x = 3,648.61 × 970.45
  4. Step 4: Simplify right side
    2,431.42x = 3,540,806.19
  5. Step 5: Solve for x
    x = 3,540,806.19/2,431.42
  6. Step 6: Final answer
    x = 1,456.27

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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.