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Finding the Fourth Proportional to 2,907.93, 4,012.82 and 1,581.63

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Solution

The fourth proportional to 2,907.93, 4,012.82 and 1,581.63 is: 2,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.93 : 4,012.82 = 1,581.63 : x
  2. Step 2: Convert to fraction form
    2,907.93/4,012.82 = 1,581.63/x
  3. Step 3: Cross multiply
    2,907.93x = 4,012.82 × 1,581.63
  4. Step 4: Simplify right side
    2,907.93x = 6,346,790.76
  5. Step 5: Solve for x
    x = 6,346,790.76/2,907.93
  6. Step 6: Final answer
    x = 2,182.58

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