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Finding the Fourth Proportional to 1,529.96, 2,295.66 and 837.32

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Solution

The fourth proportional to 1,529.96, 2,295.66 and 837.32 is: 1,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.96 : 2,295.66 = 837.32 : x
  2. Step 2: Convert to fraction form
    1,529.96/2,295.66 = 837.32/x
  3. Step 3: Cross multiply
    1,529.96x = 2,295.66 × 837.32
  4. Step 4: Simplify right side
    1,529.96x = 1,922,202.03
  5. Step 5: Solve for x
    x = 1,922,202.03/1,529.96
  6. Step 6: Final answer
    x = 1,256.37

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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.