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Finding the Fourth Proportional to 1,476.18, 2,214.62 and 551.76

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Solution

The fourth proportional to 1,476.18, 2,214.62 and 551.76 is: 827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.18 : 2,214.62 = 551.76 : x
  2. Step 2: Convert to fraction form
    1,476.18/2,214.62 = 551.76/x
  3. Step 3: Cross multiply
    1,476.18x = 2,214.62 × 551.76
  4. Step 4: Simplify right side
    1,476.18x = 1,221,935.97
  5. Step 5: Solve for x
    x = 1,221,935.97/1,476.18
  6. Step 6: Final answer
    x = 827.77

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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.