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Finding the Fourth Proportional to 2,319.60, 3,199.14 and 2,054.28

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Solution

The fourth proportional to 2,319.60, 3,199.14 and 2,054.28 is: 2,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.60 : 3,199.14 = 2,054.28 : x
  2. Step 2: Convert to fraction form
    2,319.60/3,199.14 = 2,054.28/x
  3. Step 3: Cross multiply
    2,319.60x = 3,199.14 × 2,054.28
  4. Step 4: Simplify right side
    2,319.60x = 6,571,929.32
  5. Step 5: Solve for x
    x = 6,571,929.32/2,319.60
  6. Step 6: Final answer
    x = 2,833.22

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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.