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Finding the Fourth Proportional to 1,562.83, 2,353.34 and 1,154.81

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Solution

The fourth proportional to 1,562.83, 2,353.34 and 1,154.81 is: 1,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.83 : 2,353.34 = 1,154.81 : x
  2. Step 2: Convert to fraction form
    1,562.83/2,353.34 = 1,154.81/x
  3. Step 3: Cross multiply
    1,562.83x = 2,353.34 × 1,154.81
  4. Step 4: Simplify right side
    1,562.83x = 2,717,669.34
  5. Step 5: Solve for x
    x = 2,717,669.34/1,562.83
  6. Step 6: Final answer
    x = 1,738.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.