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Finding the Fourth Proportional to 2,277.47, 3,416.15 and 817.58

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Solution

The fourth proportional to 2,277.47, 3,416.15 and 817.58 is: 1,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.47 : 3,416.15 = 817.58 : x
  2. Step 2: Convert to fraction form
    2,277.47/3,416.15 = 817.58/x
  3. Step 3: Cross multiply
    2,277.47x = 3,416.15 × 817.58
  4. Step 4: Simplify right side
    2,277.47x = 2,792,954.75
  5. Step 5: Solve for x
    x = 2,792,954.75/2,277.47
  6. Step 6: Final answer
    x = 1,226.34

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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.