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Finding the Fourth Proportional to 2,035.41, 3,052.98 and 802.59

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Solution

The fourth proportional to 2,035.41, 3,052.98 and 802.59 is: 1,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.41 : 3,052.98 = 802.59 : x
  2. Step 2: Convert to fraction form
    2,035.41/3,052.98 = 802.59/x
  3. Step 3: Cross multiply
    2,035.41x = 3,052.98 × 802.59
  4. Step 4: Simplify right side
    2,035.41x = 2,450,291.22
  5. Step 5: Solve for x
    x = 2,450,291.22/2,035.41
  6. Step 6: Final answer
    x = 1,203.83

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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.