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Finding the Fourth Proportional to 1,775.16, 2,659.06 and 1,042.48

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Solution

The fourth proportional to 1,775.16, 2,659.06 and 1,042.48 is: 1,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.16 : 2,659.06 = 1,042.48 : x
  2. Step 2: Convert to fraction form
    1,775.16/2,659.06 = 1,042.48/x
  3. Step 3: Cross multiply
    1,775.16x = 2,659.06 × 1,042.48
  4. Step 4: Simplify right side
    1,775.16x = 2,772,016.87
  5. Step 5: Solve for x
    x = 2,772,016.87/1,775.16
  6. Step 6: Final answer
    x = 1,561.56

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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.