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Finding the Fourth Proportional to 4,585.56, 6,881.98 and 1,664.70

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Solution

The fourth proportional to 4,585.56, 6,881.98 and 1,664.70 is: 2,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.56 : 6,881.98 = 1,664.70 : x
  2. Step 2: Convert to fraction form
    4,585.56/6,881.98 = 1,664.70/x
  3. Step 3: Cross multiply
    4,585.56x = 6,881.98 × 1,664.70
  4. Step 4: Simplify right side
    4,585.56x = 11,456,432.11
  5. Step 5: Solve for x
    x = 11,456,432.11/4,585.56
  6. Step 6: Final answer
    x = 2,498.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.