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Finding the Fourth Proportional to 1,528.40, 2,278.18 and 1,384.40

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Solution

The fourth proportional to 1,528.40, 2,278.18 and 1,384.40 is: 2,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.40 : 2,278.18 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    1,528.40/2,278.18 = 1,384.40/x
  3. Step 3: Cross multiply
    1,528.40x = 2,278.18 × 1,384.40
  4. Step 4: Simplify right side
    1,528.40x = 3,153,912.39
  5. Step 5: Solve for x
    x = 3,153,912.39/1,528.40
  6. Step 6: Final answer
    x = 2,063.54

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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.