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Finding the Fourth Proportional to 2,907.50, 4,012.29 and 1,581.12

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Solution

The fourth proportional to 2,907.50, 4,012.29 and 1,581.12 is: 2,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.50 : 4,012.29 = 1,581.12 : x
  2. Step 2: Convert to fraction form
    2,907.50/4,012.29 = 1,581.12/x
  3. Step 3: Cross multiply
    2,907.50x = 4,012.29 × 1,581.12
  4. Step 4: Simplify right side
    2,907.50x = 6,343,911.96
  5. Step 5: Solve for x
    x = 6,343,911.96/2,907.50
  6. Step 6: Final answer
    x = 2,181.92

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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.