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Finding the Fourth Proportional to 2,838.63, 4,258.47 and 1,278.68

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Solution

The fourth proportional to 2,838.63, 4,258.47 and 1,278.68 is: 1,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.63 : 4,258.47 = 1,278.68 : x
  2. Step 2: Convert to fraction form
    2,838.63/4,258.47 = 1,278.68/x
  3. Step 3: Cross multiply
    2,838.63x = 4,258.47 × 1,278.68
  4. Step 4: Simplify right side
    2,838.63x = 5,445,199.13
  5. Step 5: Solve for x
    x = 5,445,199.13/2,838.63
  6. Step 6: Final answer
    x = 1,918.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.