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Finding the Fourth Proportional to 2,319.93, 3,193.70 and 2,009.50

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Solution

The fourth proportional to 2,319.93, 3,193.70 and 2,009.50 is: 2,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.93 : 3,193.70 = 2,009.50 : x
  2. Step 2: Convert to fraction form
    2,319.93/3,193.70 = 2,009.50/x
  3. Step 3: Cross multiply
    2,319.93x = 3,193.70 × 2,009.50
  4. Step 4: Simplify right side
    2,319.93x = 6,417,722.12
  5. Step 5: Solve for x
    x = 6,417,722.12/2,319.93
  6. Step 6: Final answer
    x = 2,766.34

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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.