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Finding the Fourth Proportional to 3,277.00, 4,522.18 and 1,784.91

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Solution

The fourth proportional to 3,277.00, 4,522.18 and 1,784.91 is: 2,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.00 : 4,522.18 = 1,784.91 : x
  2. Step 2: Convert to fraction form
    3,277.00/4,522.18 = 1,784.91/x
  3. Step 3: Cross multiply
    3,277.00x = 4,522.18 × 1,784.91
  4. Step 4: Simplify right side
    3,277.00x = 8,071,675.38
  5. Step 5: Solve for x
    x = 8,071,675.38/3,277.00
  6. Step 6: Final answer
    x = 2,463.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.