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Finding the Fourth Proportional to 2,360.28, 3,538.96 and 800.13

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Solution

The fourth proportional to 2,360.28, 3,538.96 and 800.13 is: 1,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.28 : 3,538.96 = 800.13 : x
  2. Step 2: Convert to fraction form
    2,360.28/3,538.96 = 800.13/x
  3. Step 3: Cross multiply
    2,360.28x = 3,538.96 × 800.13
  4. Step 4: Simplify right side
    2,360.28x = 2,831,628.06
  5. Step 5: Solve for x
    x = 2,831,628.06/2,360.28
  6. Step 6: Final answer
    x = 1,199.70

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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.