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Finding the Fourth Proportional to 2,854.78, 4,258.81 and 2,775.40

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Solution

The fourth proportional to 2,854.78, 4,258.81 and 2,775.40 is: 4,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.78 : 4,258.81 = 2,775.40 : x
  2. Step 2: Convert to fraction form
    2,854.78/4,258.81 = 2,775.40/x
  3. Step 3: Cross multiply
    2,854.78x = 4,258.81 × 2,775.40
  4. Step 4: Simplify right side
    2,854.78x = 11,819,901.27
  5. Step 5: Solve for x
    x = 11,819,901.27/2,854.78
  6. Step 6: Final answer
    x = 4,140.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.