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Finding the Fourth Proportional to 1,955.17, 2,930.68 and 914.30

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Solution

The fourth proportional to 1,955.17, 2,930.68 and 914.30 is: 1,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.17 : 2,930.68 = 914.30 : x
  2. Step 2: Convert to fraction form
    1,955.17/2,930.68 = 914.30/x
  3. Step 3: Cross multiply
    1,955.17x = 2,930.68 × 914.30
  4. Step 4: Simplify right side
    1,955.17x = 2,679,507.21
  5. Step 5: Solve for x
    x = 2,679,507.21/1,955.17
  6. Step 6: Final answer
    x = 1,370.47

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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.