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Finding the Fourth Proportional to 2,032.32, 3,045.98 and 935.16

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Solution

The fourth proportional to 2,032.32, 3,045.98 and 935.16 is: 1,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.32 : 3,045.98 = 935.16 : x
  2. Step 2: Convert to fraction form
    2,032.32/3,045.98 = 935.16/x
  3. Step 3: Cross multiply
    2,032.32x = 3,045.98 × 935.16
  4. Step 4: Simplify right side
    2,032.32x = 2,848,478.66
  5. Step 5: Solve for x
    x = 2,848,478.66/2,032.32
  6. Step 6: Final answer
    x = 1,401.59

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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.