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Finding the Fourth Proportional to 2,994.90, 4,489.58 and 1,530.83

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Solution

The fourth proportional to 2,994.90, 4,489.58 and 1,530.83 is: 2,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.90 : 4,489.58 = 1,530.83 : x
  2. Step 2: Convert to fraction form
    2,994.90/4,489.58 = 1,530.83/x
  3. Step 3: Cross multiply
    2,994.90x = 4,489.58 × 1,530.83
  4. Step 4: Simplify right side
    2,994.90x = 6,872,753.65
  5. Step 5: Solve for x
    x = 6,872,753.65/2,994.90
  6. Step 6: Final answer
    x = 2,294.82

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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.