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Finding the Fourth Proportional to 2,097.79, 2,895.10 and 1,258.47

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Solution

The fourth proportional to 2,097.79, 2,895.10 and 1,258.47 is: 1,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.79 : 2,895.10 = 1,258.47 : x
  2. Step 2: Convert to fraction form
    2,097.79/2,895.10 = 1,258.47/x
  3. Step 3: Cross multiply
    2,097.79x = 2,895.10 × 1,258.47
  4. Step 4: Simplify right side
    2,097.79x = 3,643,393.35
  5. Step 5: Solve for x
    x = 3,643,393.35/2,097.79
  6. Step 6: Final answer
    x = 1,736.78

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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.