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Finding the Fourth Proportional to 2,602.28, 3,590.82 and 1,482.99

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Solution

The fourth proportional to 2,602.28, 3,590.82 and 1,482.99 is: 2,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.28 : 3,590.82 = 1,482.99 : x
  2. Step 2: Convert to fraction form
    2,602.28/3,590.82 = 1,482.99/x
  3. Step 3: Cross multiply
    2,602.28x = 3,590.82 × 1,482.99
  4. Step 4: Simplify right side
    2,602.28x = 5,325,150.15
  5. Step 5: Solve for x
    x = 5,325,150.15/2,602.28
  6. Step 6: Final answer
    x = 2,046.34

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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.