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Finding the Fourth Proportional to 1,985.90, 2,740.50 and 1,101.68

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Solution

The fourth proportional to 1,985.90, 2,740.50 and 1,101.68 is: 1,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.90 : 2,740.50 = 1,101.68 : x
  2. Step 2: Convert to fraction form
    1,985.90/2,740.50 = 1,101.68/x
  3. Step 3: Cross multiply
    1,985.90x = 2,740.50 × 1,101.68
  4. Step 4: Simplify right side
    1,985.90x = 3,019,150.61
  5. Step 5: Solve for x
    x = 3,019,150.61/1,985.90
  6. Step 6: Final answer
    x = 1,520.30

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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.