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Finding the Fourth Proportional to 1,930.64, 2,663.69 and 1,458.41

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Solution

The fourth proportional to 1,930.64, 2,663.69 and 1,458.41 is: 2,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.64 : 2,663.69 = 1,458.41 : x
  2. Step 2: Convert to fraction form
    1,930.64/2,663.69 = 1,458.41/x
  3. Step 3: Cross multiply
    1,930.64x = 2,663.69 × 1,458.41
  4. Step 4: Simplify right side
    1,930.64x = 3,884,731.52
  5. Step 5: Solve for x
    x = 3,884,731.52/1,930.64
  6. Step 6: Final answer
    x = 2,012.15

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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.