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Finding the Fourth Proportional to 1,775.54, 2,449.58 and 1,029.24

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Solution

The fourth proportional to 1,775.54, 2,449.58 and 1,029.24 is: 1,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.54 : 2,449.58 = 1,029.24 : x
  2. Step 2: Convert to fraction form
    1,775.54/2,449.58 = 1,029.24/x
  3. Step 3: Cross multiply
    1,775.54x = 2,449.58 × 1,029.24
  4. Step 4: Simplify right side
    1,775.54x = 2,521,200.57
  5. Step 5: Solve for x
    x = 2,521,200.57/1,775.54
  6. Step 6: Final answer
    x = 1,419.96

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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.