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Finding the Fourth Proportional to 1,611.55, 2,411.62 and 1,370.98

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Solution

The fourth proportional to 1,611.55, 2,411.62 and 1,370.98 is: 2,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.55 : 2,411.62 = 1,370.98 : x
  2. Step 2: Convert to fraction form
    1,611.55/2,411.62 = 1,370.98/x
  3. Step 3: Cross multiply
    1,611.55x = 2,411.62 × 1,370.98
  4. Step 4: Simplify right side
    1,611.55x = 3,306,276.52
  5. Step 5: Solve for x
    x = 3,306,276.52/1,611.55
  6. Step 6: Final answer
    x = 2,051.62

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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.