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Finding the Fourth Proportional to 1,990.90, 2,986.17 and 530.20

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Solution

The fourth proportional to 1,990.90, 2,986.17 and 530.20 is: 795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.90 : 2,986.17 = 530.20 : x
  2. Step 2: Convert to fraction form
    1,990.90/2,986.17 = 530.20/x
  3. Step 3: Cross multiply
    1,990.90x = 2,986.17 × 530.20
  4. Step 4: Simplify right side
    1,990.90x = 1,583,267.33
  5. Step 5: Solve for x
    x = 1,583,267.33/1,990.90
  6. Step 6: Final answer
    x = 795.25

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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.