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Finding the Fourth Proportional to 1,930.88, 2,656.58 and 1,705.84

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Solution

The fourth proportional to 1,930.88, 2,656.58 and 1,705.84 is: 2,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.88 : 2,656.58 = 1,705.84 : x
  2. Step 2: Convert to fraction form
    1,930.88/2,656.58 = 1,705.84/x
  3. Step 3: Cross multiply
    1,930.88x = 2,656.58 × 1,705.84
  4. Step 4: Simplify right side
    1,930.88x = 4,531,700.43
  5. Step 5: Solve for x
    x = 4,531,700.43/1,930.88
  6. Step 6: Final answer
    x = 2,346.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.