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Finding the Fourth Proportional to 1,930.76, 2,664.50 and 1,091.51

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Solution

The fourth proportional to 1,930.76, 2,664.50 and 1,091.51 is: 1,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.76 : 2,664.50 = 1,091.51 : x
  2. Step 2: Convert to fraction form
    1,930.76/2,664.50 = 1,091.51/x
  3. Step 3: Cross multiply
    1,930.76x = 2,664.50 × 1,091.51
  4. Step 4: Simplify right side
    1,930.76x = 2,908,332.96
  5. Step 5: Solve for x
    x = 2,908,332.96/1,930.76
  6. Step 6: Final answer
    x = 1,506.31

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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.