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Finding the Fourth Proportional to 2,151.55, 2,970.23 and 1,268.25

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Solution

The fourth proportional to 2,151.55, 2,970.23 and 1,268.25 is: 1,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.55 : 2,970.23 = 1,268.25 : x
  2. Step 2: Convert to fraction form
    2,151.55/2,970.23 = 1,268.25/x
  3. Step 3: Cross multiply
    2,151.55x = 2,970.23 × 1,268.25
  4. Step 4: Simplify right side
    2,151.55x = 3,766,994.20
  5. Step 5: Solve for x
    x = 3,766,994.20/2,151.55
  6. Step 6: Final answer
    x = 1,750.83

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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.