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Finding the Fourth Proportional to 2,802.98, 3,868.10 and 1,544.00

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Solution

The fourth proportional to 2,802.98, 3,868.10 and 1,544.00 is: 2,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.98 : 3,868.10 = 1,544.00 : x
  2. Step 2: Convert to fraction form
    2,802.98/3,868.10 = 1,544.00/x
  3. Step 3: Cross multiply
    2,802.98x = 3,868.10 × 1,544.00
  4. Step 4: Simplify right side
    2,802.98x = 5,972,319.34
  5. Step 5: Solve for x
    x = 5,972,319.34/2,802.98
  6. Step 6: Final answer
    x = 2,130.71

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