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Finding the Fourth Proportional to 3,290.70, 4,541.26 and 1,874.60

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Solution

The fourth proportional to 3,290.70, 4,541.26 and 1,874.60 is: 2,587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.70 : 4,541.26 = 1,874.60 : x
  2. Step 2: Convert to fraction form
    3,290.70/4,541.26 = 1,874.60/x
  3. Step 3: Cross multiply
    3,290.70x = 4,541.26 × 1,874.60
  4. Step 4: Simplify right side
    3,290.70x = 8,513,046.00
  5. Step 5: Solve for x
    x = 8,513,046.00/3,290.70
  6. Step 6: Final answer
    x = 2,587.00

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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.