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Finding the Fourth Proportional to 2,594.74, 3,577.52 and 2,258.14

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Solution

The fourth proportional to 2,594.74, 3,577.52 and 2,258.14 is: 3,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.74 : 3,577.52 = 2,258.14 : x
  2. Step 2: Convert to fraction form
    2,594.74/3,577.52 = 2,258.14/x
  3. Step 3: Cross multiply
    2,594.74x = 3,577.52 × 2,258.14
  4. Step 4: Simplify right side
    2,594.74x = 8,078,541.01
  5. Step 5: Solve for x
    x = 8,078,541.01/2,594.74
  6. Step 6: Final answer
    x = 3,113.43

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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.