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Finding the Fourth Proportional to 1,662.70, 2,488.77 and 930.05

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Solution

The fourth proportional to 1,662.70, 2,488.77 and 930.05 is: 1,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.70 : 2,488.77 = 930.05 : x
  2. Step 2: Convert to fraction form
    1,662.70/2,488.77 = 930.05/x
  3. Step 3: Cross multiply
    1,662.70x = 2,488.77 × 930.05
  4. Step 4: Simplify right side
    1,662.70x = 2,314,680.54
  5. Step 5: Solve for x
    x = 2,314,680.54/1,662.70
  6. Step 6: Final answer
    x = 1,392.12

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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.