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Finding the Fourth Proportional to 1,775.22, 2,449.47 and 1,029.12

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Solution

The fourth proportional to 1,775.22, 2,449.47 and 1,029.12 is: 1,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.22 : 2,449.47 = 1,029.12 : x
  2. Step 2: Convert to fraction form
    1,775.22/2,449.47 = 1,029.12/x
  3. Step 3: Cross multiply
    1,775.22x = 2,449.47 × 1,029.12
  4. Step 4: Simplify right side
    1,775.22x = 2,520,798.57
  5. Step 5: Solve for x
    x = 2,520,798.57/1,775.22
  6. Step 6: Final answer
    x = 1,419.99

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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.