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Finding the Fourth Proportional to 1,985.79, 2,740.41 and 1,101.68

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Solution

The fourth proportional to 1,985.79, 2,740.41 and 1,101.68 is: 1,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.79 : 2,740.41 = 1,101.68 : x
  2. Step 2: Convert to fraction form
    1,985.79/2,740.41 = 1,101.68/x
  3. Step 3: Cross multiply
    1,985.79x = 2,740.41 × 1,101.68
  4. Step 4: Simplify right side
    1,985.79x = 3,019,054.89
  5. Step 5: Solve for x
    x = 3,019,054.89/1,985.79
  6. Step 6: Final answer
    x = 1,520.33

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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.