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Finding the Fourth Proportional to 1,930.00, 2,663.63 and 1,090.74

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Solution

The fourth proportional to 1,930.00, 2,663.63 and 1,090.74 is: 1,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.00 : 2,663.63 = 1,090.74 : x
  2. Step 2: Convert to fraction form
    1,930.00/2,663.63 = 1,090.74/x
  3. Step 3: Cross multiply
    1,930.00x = 2,663.63 × 1,090.74
  4. Step 4: Simplify right side
    1,930.00x = 2,905,335.06
  5. Step 5: Solve for x
    x = 2,905,335.06/1,930.00
  6. Step 6: Final answer
    x = 1,505.35

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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.