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Finding the Fourth Proportional to 1,632, 2,435.28 and 1,568.82

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Solution

The fourth proportional to 1,632, 2,435.28 and 1,568.82 is: 2,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632 : 2,435.28 = 1,568.82 : x
  2. Step 2: Convert to fraction form
    1,632/2,435.28 = 1,568.82/x
  3. Step 3: Cross multiply
    1,632x = 2,435.28 × 1,568.82
  4. Step 4: Simplify right side
    1,632x = 3,820,515.97
  5. Step 5: Solve for x
    x = 3,820,515.97/1,632
  6. Step 6: Final answer
    x = 2,341.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.