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Finding the Fourth Proportional to 1,930.34, 2,895.51 and 955.46

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Solution

The fourth proportional to 1,930.34, 2,895.51 and 955.46 is: 1,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.34 : 2,895.51 = 955.46 : x
  2. Step 2: Convert to fraction form
    1,930.34/2,895.51 = 955.46/x
  3. Step 3: Cross multiply
    1,930.34x = 2,895.51 × 955.46
  4. Step 4: Simplify right side
    1,930.34x = 2,766,543.98
  5. Step 5: Solve for x
    x = 2,766,543.98/1,930.34
  6. Step 6: Final answer
    x = 1,433.19

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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.