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Finding the Fourth Proportional to 3,068.42, 4,235.86 and 1,809.08

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Solution

The fourth proportional to 3,068.42, 4,235.86 and 1,809.08 is: 2,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.42 : 4,235.86 = 1,809.08 : x
  2. Step 2: Convert to fraction form
    3,068.42/4,235.86 = 1,809.08/x
  3. Step 3: Cross multiply
    3,068.42x = 4,235.86 × 1,809.08
  4. Step 4: Simplify right side
    3,068.42x = 7,663,009.61
  5. Step 5: Solve for x
    x = 7,663,009.61/3,068.42
  6. Step 6: Final answer
    x = 2,497.38

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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.