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Finding the Fourth Proportional to 1,756.09, 2,421.79 and 1,616.50

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Solution

The fourth proportional to 1,756.09, 2,421.79 and 1,616.50 is: 2,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.09 : 2,421.79 = 1,616.50 : x
  2. Step 2: Convert to fraction form
    1,756.09/2,421.79 = 1,616.50/x
  3. Step 3: Cross multiply
    1,756.09x = 2,421.79 × 1,616.50
  4. Step 4: Simplify right side
    1,756.09x = 3,914,823.54
  5. Step 5: Solve for x
    x = 3,914,823.54/1,756.09
  6. Step 6: Final answer
    x = 2,229.28

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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.