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Finding the Fourth Proportional to 2,881.35, 4,322.34 and 1,033.02

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Solution

The fourth proportional to 2,881.35, 4,322.34 and 1,033.02 is: 1,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.35 : 4,322.34 = 1,033.02 : x
  2. Step 2: Convert to fraction form
    2,881.35/4,322.34 = 1,033.02/x
  3. Step 3: Cross multiply
    2,881.35x = 4,322.34 × 1,033.02
  4. Step 4: Simplify right side
    2,881.35x = 4,465,063.67
  5. Step 5: Solve for x
    x = 4,465,063.67/2,881.35
  6. Step 6: Final answer
    x = 1,549.64

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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.