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Finding the Fourth Proportional to 1,523.37, 2,099.21 and 1,056.81

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Solution

The fourth proportional to 1,523.37, 2,099.21 and 1,056.81 is: 1,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.37 : 2,099.21 = 1,056.81 : x
  2. Step 2: Convert to fraction form
    1,523.37/2,099.21 = 1,056.81/x
  3. Step 3: Cross multiply
    1,523.37x = 2,099.21 × 1,056.81
  4. Step 4: Simplify right side
    1,523.37x = 2,218,460.84
  5. Step 5: Solve for x
    x = 2,218,460.84/1,523.37
  6. Step 6: Final answer
    x = 1,456.28

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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.