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Finding the Fourth Proportional to 1,965.60, 2,930.58 and 1,914.30

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Solution

The fourth proportional to 1,965.60, 2,930.58 and 1,914.30 is: 2,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.60 : 2,930.58 = 1,914.30 : x
  2. Step 2: Convert to fraction form
    1,965.60/2,930.58 = 1,914.30/x
  3. Step 3: Cross multiply
    1,965.60x = 2,930.58 × 1,914.30
  4. Step 4: Simplify right side
    1,965.60x = 5,610,009.29
  5. Step 5: Solve for x
    x = 5,610,009.29/1,965.60
  6. Step 6: Final answer
    x = 2,854.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.