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Finding the Fourth Proportional to 1,710.66, 2,562.39 and 1,691.22

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Solution

The fourth proportional to 1,710.66, 2,562.39 and 1,691.22 is: 2,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.66 : 2,562.39 = 1,691.22 : x
  2. Step 2: Convert to fraction form
    1,710.66/2,562.39 = 1,691.22/x
  3. Step 3: Cross multiply
    1,710.66x = 2,562.39 × 1,691.22
  4. Step 4: Simplify right side
    1,710.66x = 4,333,565.22
  5. Step 5: Solve for x
    x = 4,333,565.22/1,710.66
  6. Step 6: Final answer
    x = 2,533.27

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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.