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Finding the Fourth Proportional to 1,896.47, 2,844.95 and 742.07

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Solution

The fourth proportional to 1,896.47, 2,844.95 and 742.07 is: 1,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.47 : 2,844.95 = 742.07 : x
  2. Step 2: Convert to fraction form
    1,896.47/2,844.95 = 742.07/x
  3. Step 3: Cross multiply
    1,896.47x = 2,844.95 × 742.07
  4. Step 4: Simplify right side
    1,896.47x = 2,111,148.34
  5. Step 5: Solve for x
    x = 2,111,148.34/1,896.47
  6. Step 6: Final answer
    x = 1,113.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.