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Finding the Fourth Proportional to 2,907.10, 4,011.83 and 1,580.83

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Solution

The fourth proportional to 2,907.10, 4,011.83 and 1,580.83 is: 2,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.10 : 4,011.83 = 1,580.83 : x
  2. Step 2: Convert to fraction form
    2,907.10/4,011.83 = 1,580.83/x
  3. Step 3: Cross multiply
    2,907.10x = 4,011.83 × 1,580.83
  4. Step 4: Simplify right side
    2,907.10x = 6,342,013.31
  5. Step 5: Solve for x
    x = 6,342,013.31/2,907.10
  6. Step 6: Final answer
    x = 2,181.56

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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.