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Finding the Fourth Proportional to 1,931.56, 2,648.16 and 1,896.53

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Solution

The fourth proportional to 1,931.56, 2,648.16 and 1,896.53 is: 2,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.56 : 2,648.16 = 1,896.53 : x
  2. Step 2: Convert to fraction form
    1,931.56/2,648.16 = 1,896.53/x
  3. Step 3: Cross multiply
    1,931.56x = 2,648.16 × 1,896.53
  4. Step 4: Simplify right side
    1,931.56x = 5,022,301.64
  5. Step 5: Solve for x
    x = 5,022,301.64/1,931.56
  6. Step 6: Final answer
    x = 2,600.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.