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Finding the Fourth Proportional to 2,802.96, 3,868.08 and 1,544.01

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Solution

The fourth proportional to 2,802.96, 3,868.08 and 1,544.01 is: 2,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.96 : 3,868.08 = 1,544.01 : x
  2. Step 2: Convert to fraction form
    2,802.96/3,868.08 = 1,544.01/x
  3. Step 3: Cross multiply
    2,802.96x = 3,868.08 × 1,544.01
  4. Step 4: Simplify right side
    2,802.96x = 5,972,354.20
  5. Step 5: Solve for x
    x = 5,972,354.20/2,802.96
  6. Step 6: Final answer
    x = 2,130.73

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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.