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Finding the Fourth Proportional to 1,771.84, 2,649.32 and 1,616.93

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Solution

The fourth proportional to 1,771.84, 2,649.32 and 1,616.93 is: 2,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.84 : 2,649.32 = 1,616.93 : x
  2. Step 2: Convert to fraction form
    1,771.84/2,649.32 = 1,616.93/x
  3. Step 3: Cross multiply
    1,771.84x = 2,649.32 × 1,616.93
  4. Step 4: Simplify right side
    1,771.84x = 4,283,755.78
  5. Step 5: Solve for x
    x = 4,283,755.78/1,771.84
  6. Step 6: Final answer
    x = 2,417.69

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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.