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Finding the Fourth Proportional to 1,639.77, 2,264.79 and 1,482.36

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Solution

The fourth proportional to 1,639.77, 2,264.79 and 1,482.36 is: 2,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.77 : 2,264.79 = 1,482.36 : x
  2. Step 2: Convert to fraction form
    1,639.77/2,264.79 = 1,482.36/x
  3. Step 3: Cross multiply
    1,639.77x = 2,264.79 × 1,482.36
  4. Step 4: Simplify right side
    1,639.77x = 3,357,234.10
  5. Step 5: Solve for x
    x = 3,357,234.10/1,639.77
  6. Step 6: Final answer
    x = 2,047.38

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Why These Related Problems?

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