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Finding the Fourth Proportional to 2,994.67, 4,494.05 and 1,534.85

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Solution

The fourth proportional to 2,994.67, 4,494.05 and 1,534.85 is: 2,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.67 : 4,494.05 = 1,534.85 : x
  2. Step 2: Convert to fraction form
    2,994.67/4,494.05 = 1,534.85/x
  3. Step 3: Cross multiply
    2,994.67x = 4,494.05 × 1,534.85
  4. Step 4: Simplify right side
    2,994.67x = 6,897,685.11
  5. Step 5: Solve for x
    x = 6,897,685.11/2,994.67
  6. Step 6: Final answer
    x = 2,303.32

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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.