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Finding the Fourth Proportional to 2,990.73, 4,494.06 and 1,530.84

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Solution

The fourth proportional to 2,990.73, 4,494.06 and 1,530.84 is: 2,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.73 : 4,494.06 = 1,530.84 : x
  2. Step 2: Convert to fraction form
    2,990.73/4,494.06 = 1,530.84/x
  3. Step 3: Cross multiply
    2,990.73x = 4,494.06 × 1,530.84
  4. Step 4: Simplify right side
    2,990.73x = 6,879,686.81
  5. Step 5: Solve for x
    x = 6,879,686.81/2,990.73
  6. Step 6: Final answer
    x = 2,300.34

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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.