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Finding the Fourth Proportional to 1,989.97, 2,985.01 and 950.08

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Solution

The fourth proportional to 1,989.97, 2,985.01 and 950.08 is: 1,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.97 : 2,985.01 = 950.08 : x
  2. Step 2: Convert to fraction form
    1,989.97/2,985.01 = 950.08/x
  3. Step 3: Cross multiply
    1,989.97x = 2,985.01 × 950.08
  4. Step 4: Simplify right side
    1,989.97x = 2,835,988.46
  5. Step 5: Solve for x
    x = 2,835,988.46/1,989.97
  6. Step 6: Final answer
    x = 1,425.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.