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Finding the Fourth Proportional to 2,001.98, 2,762.78 and 1,105.76

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Solution

The fourth proportional to 2,001.98, 2,762.78 and 1,105.76 is: 1,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.98 : 2,762.78 = 1,105.76 : x
  2. Step 2: Convert to fraction form
    2,001.98/2,762.78 = 1,105.76/x
  3. Step 3: Cross multiply
    2,001.98x = 2,762.78 × 1,105.76
  4. Step 4: Simplify right side
    2,001.98x = 3,054,971.61
  5. Step 5: Solve for x
    x = 3,054,971.61/2,001.98
  6. Step 6: Final answer
    x = 1,525.98

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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.