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Finding the Fourth Proportional to 3,114.65, 4,297.56 and 1,856.18

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Solution

The fourth proportional to 3,114.65, 4,297.56 and 1,856.18 is: 2,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.65 : 4,297.56 = 1,856.18 : x
  2. Step 2: Convert to fraction form
    3,114.65/4,297.56 = 1,856.18/x
  3. Step 3: Cross multiply
    3,114.65x = 4,297.56 × 1,856.18
  4. Step 4: Simplify right side
    3,114.65x = 7,977,044.92
  5. Step 5: Solve for x
    x = 7,977,044.92/3,114.65
  6. Step 6: Final answer
    x = 2,561.14

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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.