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Finding the Fourth Proportional to 1,990.13, 2,985.12 and 673.98

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Solution

The fourth proportional to 1,990.13, 2,985.12 and 673.98 is: 1,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.13 : 2,985.12 = 673.98 : x
  2. Step 2: Convert to fraction form
    1,990.13/2,985.12 = 673.98/x
  3. Step 3: Cross multiply
    1,990.13x = 2,985.12 × 673.98
  4. Step 4: Simplify right side
    1,990.13x = 2,011,916.77
  5. Step 5: Solve for x
    x = 2,011,916.77/1,990.13
  6. Step 6: Final answer
    x = 1,010.95

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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.