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Finding the Fourth Proportional to 4,297.60, 6,446.40 and 1,987.84

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Solution

The fourth proportional to 4,297.60, 6,446.40 and 1,987.84 is: 2,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.60 : 6,446.40 = 1,987.84 : x
  2. Step 2: Convert to fraction form
    4,297.60/6,446.40 = 1,987.84/x
  3. Step 3: Cross multiply
    4,297.60x = 6,446.40 × 1,987.84
  4. Step 4: Simplify right side
    4,297.60x = 12,814,411.78
  5. Step 5: Solve for x
    x = 12,814,411.78/4,297.60
  6. Step 6: Final answer
    x = 2,981.76

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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.