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Finding the Fourth Proportional to 2,150.74, 2,969.67 and 1,652.59

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Solution

The fourth proportional to 2,150.74, 2,969.67 and 1,652.59 is: 2,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.74 : 2,969.67 = 1,652.59 : x
  2. Step 2: Convert to fraction form
    2,150.74/2,969.67 = 1,652.59/x
  3. Step 3: Cross multiply
    2,150.74x = 2,969.67 × 1,652.59
  4. Step 4: Simplify right side
    2,150.74x = 4,907,646.95
  5. Step 5: Solve for x
    x = 4,907,646.95/2,150.74
  6. Step 6: Final answer
    x = 2,281.84

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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.