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Finding the Fourth Proportional to 1,596.33, 2,390.46 and 1,009.55

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Solution

The fourth proportional to 1,596.33, 2,390.46 and 1,009.55 is: 1,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.33 : 2,390.46 = 1,009.55 : x
  2. Step 2: Convert to fraction form
    1,596.33/2,390.46 = 1,009.55/x
  3. Step 3: Cross multiply
    1,596.33x = 2,390.46 × 1,009.55
  4. Step 4: Simplify right side
    1,596.33x = 2,413,276.94
  5. Step 5: Solve for x
    x = 2,413,276.94/1,596.33
  6. Step 6: Final answer
    x = 1,511.77

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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.