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Finding the Fourth Proportional to 2,881.64, 4,316.26 and 1,648.40

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Solution

The fourth proportional to 2,881.64, 4,316.26 and 1,648.40 is: 2,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.64 : 4,316.26 = 1,648.40 : x
  2. Step 2: Convert to fraction form
    2,881.64/4,316.26 = 1,648.40/x
  3. Step 3: Cross multiply
    2,881.64x = 4,316.26 × 1,648.40
  4. Step 4: Simplify right side
    2,881.64x = 7,114,922.98
  5. Step 5: Solve for x
    x = 7,114,922.98/2,881.64
  6. Step 6: Final answer
    x = 2,469.05

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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.