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Finding the Fourth Proportional to 2,907.28, 4,012.05 and 1,580.98

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Solution

The fourth proportional to 2,907.28, 4,012.05 and 1,580.98 is: 2,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.28 : 4,012.05 = 1,580.98 : x
  2. Step 2: Convert to fraction form
    2,907.28/4,012.05 = 1,580.98/x
  3. Step 3: Cross multiply
    2,907.28x = 4,012.05 × 1,580.98
  4. Step 4: Simplify right side
    2,907.28x = 6,342,975.71
  5. Step 5: Solve for x
    x = 6,342,975.71/2,907.28
  6. Step 6: Final answer
    x = 2,181.76

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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.