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Finding the Fourth Proportional to 4,580.30, 6,866.19 and 1,657.95

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Solution

The fourth proportional to 4,580.30, 6,866.19 and 1,657.95 is: 2,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.30 : 6,866.19 = 1,657.95 : x
  2. Step 2: Convert to fraction form
    4,580.30/6,866.19 = 1,657.95/x
  3. Step 3: Cross multiply
    4,580.30x = 6,866.19 × 1,657.95
  4. Step 4: Simplify right side
    4,580.30x = 11,383,799.71
  5. Step 5: Solve for x
    x = 11,383,799.71/4,580.30
  6. Step 6: Final answer
    x = 2,485.39

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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.