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Finding the Fourth Proportional to 1,985.52, 2,740 and 1,101.30

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Solution

The fourth proportional to 1,985.52, 2,740 and 1,101.30 is: 1,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.52 : 2,740 = 1,101.30 : x
  2. Step 2: Convert to fraction form
    1,985.52/2,740 = 1,101.30/x
  3. Step 3: Cross multiply
    1,985.52x = 2,740 × 1,101.30
  4. Step 4: Simplify right side
    1,985.52x = 3,017,562
  5. Step 5: Solve for x
    x = 3,017,562/1,985.52
  6. Step 6: Final answer
    x = 1,519.78

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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.