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Finding the Fourth Proportional to 2,908.32, 4,013.65 and 1,649.16

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Solution

The fourth proportional to 2,908.32, 4,013.65 and 1,649.16 is: 2,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.32 : 4,013.65 = 1,649.16 : x
  2. Step 2: Convert to fraction form
    2,908.32/4,013.65 = 1,649.16/x
  3. Step 3: Cross multiply
    2,908.32x = 4,013.65 × 1,649.16
  4. Step 4: Simplify right side
    2,908.32x = 6,619,153.10
  5. Step 5: Solve for x
    x = 6,619,153.10/2,908.32
  6. Step 6: Final answer
    x = 2,275.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.