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Finding the Fourth Proportional to 1,410.32, 2,114.94 and 832.52

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Solution

The fourth proportional to 1,410.32, 2,114.94 and 832.52 is: 1,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.32 : 2,114.94 = 832.52 : x
  2. Step 2: Convert to fraction form
    1,410.32/2,114.94 = 832.52/x
  3. Step 3: Cross multiply
    1,410.32x = 2,114.94 × 832.52
  4. Step 4: Simplify right side
    1,410.32x = 1,760,729.85
  5. Step 5: Solve for x
    x = 1,760,729.85/1,410.32
  6. Step 6: Final answer
    x = 1,248.46

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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.