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Finding the Fourth Proportional to 1,353.47, 1,864.28 and 1,262.75

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Solution

The fourth proportional to 1,353.47, 1,864.28 and 1,262.75 is: 1,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.47 : 1,864.28 = 1,262.75 : x
  2. Step 2: Convert to fraction form
    1,353.47/1,864.28 = 1,262.75/x
  3. Step 3: Cross multiply
    1,353.47x = 1,864.28 × 1,262.75
  4. Step 4: Simplify right side
    1,353.47x = 2,354,113.41
  5. Step 5: Solve for x
    x = 2,354,113.41/1,353.47
  6. Step 6: Final answer
    x = 1,739.32

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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.