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Finding the Fourth Proportional to 2,506.62, 3,761.01 and 1,353.18

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Solution

The fourth proportional to 2,506.62, 3,761.01 and 1,353.18 is: 2,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.62 : 3,761.01 = 1,353.18 : x
  2. Step 2: Convert to fraction form
    2,506.62/3,761.01 = 1,353.18/x
  3. Step 3: Cross multiply
    2,506.62x = 3,761.01 × 1,353.18
  4. Step 4: Simplify right side
    2,506.62x = 5,089,323.51
  5. Step 5: Solve for x
    x = 5,089,323.51/2,506.62
  6. Step 6: Final answer
    x = 2,030.35

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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.