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Finding the Fourth Proportional to 2,401.40, 3,601.80 and 646.53

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Solution

The fourth proportional to 2,401.40, 3,601.80 and 646.53 is: 969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.40 : 3,601.80 = 646.53 : x
  2. Step 2: Convert to fraction form
    2,401.40/3,601.80 = 646.53/x
  3. Step 3: Cross multiply
    2,401.40x = 3,601.80 × 646.53
  4. Step 4: Simplify right side
    2,401.40x = 2,328,671.75
  5. Step 5: Solve for x
    x = 2,328,671.75/2,401.40
  6. Step 6: Final answer
    x = 969.71

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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.