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Finding the Fourth Proportional to 2,594.97, 3,580.47 and 2,506.05

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Solution

The fourth proportional to 2,594.97, 3,580.47 and 2,506.05 is: 3,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.97 : 3,580.47 = 2,506.05 : x
  2. Step 2: Convert to fraction form
    2,594.97/3,580.47 = 2,506.05/x
  3. Step 3: Cross multiply
    2,594.97x = 3,580.47 × 2,506.05
  4. Step 4: Simplify right side
    2,594.97x = 8,972,836.84
  5. Step 5: Solve for x
    x = 8,972,836.84/2,594.97
  6. Step 6: Final answer
    x = 3,457.78

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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.