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Finding the Fourth Proportional to 1,955.31, 2,930.58 and 1,031.31

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Solution

The fourth proportional to 1,955.31, 2,930.58 and 1,031.31 is: 1,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.31 : 2,930.58 = 1,031.31 : x
  2. Step 2: Convert to fraction form
    1,955.31/2,930.58 = 1,031.31/x
  3. Step 3: Cross multiply
    1,955.31x = 2,930.58 × 1,031.31
  4. Step 4: Simplify right side
    1,955.31x = 3,022,328.22
  5. Step 5: Solve for x
    x = 3,022,328.22/1,955.31
  6. Step 6: Final answer
    x = 1,545.70

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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.