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Finding the Fourth Proportional to 2,482.33, 3,713.77 and 1,790.32

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Solution

The fourth proportional to 2,482.33, 3,713.77 and 1,790.32 is: 2,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.33 : 3,713.77 = 1,790.32 : x
  2. Step 2: Convert to fraction form
    2,482.33/3,713.77 = 1,790.32/x
  3. Step 3: Cross multiply
    2,482.33x = 3,713.77 × 1,790.32
  4. Step 4: Simplify right side
    2,482.33x = 6,648,836.71
  5. Step 5: Solve for x
    x = 6,648,836.71/2,482.33
  6. Step 6: Final answer
    x = 2,678.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.