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Finding the Fourth Proportional to 1,985.89, 2,740.52 and 1,089.63

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Solution

The fourth proportional to 1,985.89, 2,740.52 and 1,089.63 is: 1,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.89 : 2,740.52 = 1,089.63 : x
  2. Step 2: Convert to fraction form
    1,985.89/2,740.52 = 1,089.63/x
  3. Step 3: Cross multiply
    1,985.89x = 2,740.52 × 1,089.63
  4. Step 4: Simplify right side
    1,985.89x = 2,986,147.36
  5. Step 5: Solve for x
    x = 2,986,147.36/1,985.89
  6. Step 6: Final answer
    x = 1,503.69

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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.