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Finding the Fourth Proportional to 2,031.56, 3,045.51 and 935.36

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Solution

The fourth proportional to 2,031.56, 3,045.51 and 935.36 is: 1,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.56 : 3,045.51 = 935.36 : x
  2. Step 2: Convert to fraction form
    2,031.56/3,045.51 = 935.36/x
  3. Step 3: Cross multiply
    2,031.56x = 3,045.51 × 935.36
  4. Step 4: Simplify right side
    2,031.56x = 2,848,648.23
  5. Step 5: Solve for x
    x = 2,848,648.23/2,031.56
  6. Step 6: Final answer
    x = 1,402.20

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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.