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Finding the Fourth Proportional to 1,649.70, 2,276.82 and 1,061.94

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Solution

The fourth proportional to 1,649.70, 2,276.82 and 1,061.94 is: 1,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.70 : 2,276.82 = 1,061.94 : x
  2. Step 2: Convert to fraction form
    1,649.70/2,276.82 = 1,061.94/x
  3. Step 3: Cross multiply
    1,649.70x = 2,276.82 × 1,061.94
  4. Step 4: Simplify right side
    1,649.70x = 2,417,846.23
  5. Step 5: Solve for x
    x = 2,417,846.23/1,649.70
  6. Step 6: Final answer
    x = 1,465.63

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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.