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Finding the Fourth Proportional to 2,532.90, 3,494.94 and 1,926.01

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Solution

The fourth proportional to 2,532.90, 3,494.94 and 1,926.01 is: 2,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.90 : 3,494.94 = 1,926.01 : x
  2. Step 2: Convert to fraction form
    2,532.90/3,494.94 = 1,926.01/x
  3. Step 3: Cross multiply
    2,532.90x = 3,494.94 × 1,926.01
  4. Step 4: Simplify right side
    2,532.90x = 6,731,280.65
  5. Step 5: Solve for x
    x = 6,731,280.65/2,532.90
  6. Step 6: Final answer
    x = 2,657.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.