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Finding the Fourth Proportional to 1,362.13, 2,047.32 and 901.48

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Solution

The fourth proportional to 1,362.13, 2,047.32 and 901.48 is: 1,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.13 : 2,047.32 = 901.48 : x
  2. Step 2: Convert to fraction form
    1,362.13/2,047.32 = 901.48/x
  3. Step 3: Cross multiply
    1,362.13x = 2,047.32 × 901.48
  4. Step 4: Simplify right side
    1,362.13x = 1,845,618.03
  5. Step 5: Solve for x
    x = 1,845,618.03/1,362.13
  6. Step 6: Final answer
    x = 1,354.95

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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.