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Finding the Fourth Proportional to 1,930.22, 2,663.68 and 1,046

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Solution

The fourth proportional to 1,930.22, 2,663.68 and 1,046 is: 1,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.22 : 2,663.68 = 1,046 : x
  2. Step 2: Convert to fraction form
    1,930.22/2,663.68 = 1,046/x
  3. Step 3: Cross multiply
    1,930.22x = 2,663.68 × 1,046
  4. Step 4: Simplify right side
    1,930.22x = 2,786,209.28
  5. Step 5: Solve for x
    x = 2,786,209.28/1,930.22
  6. Step 6: Final answer
    x = 1,443.47

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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.