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Finding the Fourth Proportional to 2,881.64, 4,319.06 and 1,649.90

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Solution

The fourth proportional to 2,881.64, 4,319.06 and 1,649.90 is: 2,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.64 : 4,319.06 = 1,649.90 : x
  2. Step 2: Convert to fraction form
    2,881.64/4,319.06 = 1,649.90/x
  3. Step 3: Cross multiply
    2,881.64x = 4,319.06 × 1,649.90
  4. Step 4: Simplify right side
    2,881.64x = 7,126,017.09
  5. Step 5: Solve for x
    x = 7,126,017.09/2,881.64
  6. Step 6: Final answer
    x = 2,472.90

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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.