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Finding the Fourth Proportional to 2,478.46, 3,717.07 and 1,018.02

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Solution

The fourth proportional to 2,478.46, 3,717.07 and 1,018.02 is: 1,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.46 : 3,717.07 = 1,018.02 : x
  2. Step 2: Convert to fraction form
    2,478.46/3,717.07 = 1,018.02/x
  3. Step 3: Cross multiply
    2,478.46x = 3,717.07 × 1,018.02
  4. Step 4: Simplify right side
    2,478.46x = 3,784,051.60
  5. Step 5: Solve for x
    x = 3,784,051.60/2,478.46
  6. Step 6: Final answer
    x = 1,526.78

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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.