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Finding the Fourth Proportional to 3,066.35, 4,599.65 and 986.44

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Solution

The fourth proportional to 3,066.35, 4,599.65 and 986.44 is: 1,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.35 : 4,599.65 = 986.44 : x
  2. Step 2: Convert to fraction form
    3,066.35/4,599.65 = 986.44/x
  3. Step 3: Cross multiply
    3,066.35x = 4,599.65 × 986.44
  4. Step 4: Simplify right side
    3,066.35x = 4,537,278.75
  5. Step 5: Solve for x
    x = 4,537,278.75/3,066.35
  6. Step 6: Final answer
    x = 1,479.70

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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.