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Finding the Fourth Proportional to 2,004.55, 2,802.72 and 2,004.55

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Solution

The fourth proportional to 2,004.55, 2,802.72 and 2,004.55 is: 2,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.55 : 2,802.72 = 2,004.55 : x
  2. Step 2: Convert to fraction form
    2,004.55/2,802.72 = 2,004.55/x
  3. Step 3: Cross multiply
    2,004.55x = 2,802.72 × 2,004.55
  4. Step 4: Simplify right side
    2,004.55x = 5,618,192.38
  5. Step 5: Solve for x
    x = 5,618,192.38/2,004.55
  6. Step 6: Final answer
    x = 2,802.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.