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Finding the Fourth Proportional to 1,353.68, 1,867.52 and 910.82

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Solution

The fourth proportional to 1,353.68, 1,867.52 and 910.82 is: 1,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.68 : 1,867.52 = 910.82 : x
  2. Step 2: Convert to fraction form
    1,353.68/1,867.52 = 910.82/x
  3. Step 3: Cross multiply
    1,353.68x = 1,867.52 × 910.82
  4. Step 4: Simplify right side
    1,353.68x = 1,700,961.81
  5. Step 5: Solve for x
    x = 1,700,961.81/1,353.68
  6. Step 6: Final answer
    x = 1,256.54

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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.