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Finding the Fourth Proportional to 2,881.96, 4,323.36 and 1,032.67

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Solution

The fourth proportional to 2,881.96, 4,323.36 and 1,032.67 is: 1,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.96 : 4,323.36 = 1,032.67 : x
  2. Step 2: Convert to fraction form
    2,881.96/4,323.36 = 1,032.67/x
  3. Step 3: Cross multiply
    2,881.96x = 4,323.36 × 1,032.67
  4. Step 4: Simplify right side
    2,881.96x = 4,464,604.17
  5. Step 5: Solve for x
    x = 4,464,604.17/2,881.96
  6. Step 6: Final answer
    x = 1,549.16

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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.