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Finding the Fourth Proportional to 1,907.08, 2,860.78 and 811.72

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Solution

The fourth proportional to 1,907.08, 2,860.78 and 811.72 is: 1,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.08 : 2,860.78 = 811.72 : x
  2. Step 2: Convert to fraction form
    1,907.08/2,860.78 = 811.72/x
  3. Step 3: Cross multiply
    1,907.08x = 2,860.78 × 811.72
  4. Step 4: Simplify right side
    1,907.08x = 2,322,152.34
  5. Step 5: Solve for x
    x = 2,322,152.34/1,907.08
  6. Step 6: Final answer
    x = 1,217.65

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