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Finding the Fourth Proportional to 1,732.90, 2,599.35 and 1,657.30

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Solution

The fourth proportional to 1,732.90, 2,599.35 and 1,657.30 is: 2,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.90 : 2,599.35 = 1,657.30 : x
  2. Step 2: Convert to fraction form
    1,732.90/2,599.35 = 1,657.30/x
  3. Step 3: Cross multiply
    1,732.90x = 2,599.35 × 1,657.30
  4. Step 4: Simplify right side
    1,732.90x = 4,307,902.76
  5. Step 5: Solve for x
    x = 4,307,902.76/1,732.90
  6. Step 6: Final answer
    x = 2,485.95

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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.