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Finding the Fourth Proportional to 1,549.40, 2,325.90 and 818.60

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Solution

The fourth proportional to 1,549.40, 2,325.90 and 818.60 is: 1,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.40 : 2,325.90 = 818.60 : x
  2. Step 2: Convert to fraction form
    1,549.40/2,325.90 = 818.60/x
  3. Step 3: Cross multiply
    1,549.40x = 2,325.90 × 818.60
  4. Step 4: Simplify right side
    1,549.40x = 1,903,981.74
  5. Step 5: Solve for x
    x = 1,903,981.74/1,549.40
  6. Step 6: Final answer
    x = 1,228.85

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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.