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Finding the Fourth Proportional to 2,802.67, 4,203.62 and 1,158.99

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Solution

The fourth proportional to 2,802.67, 4,203.62 and 1,158.99 is: 1,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.67 : 4,203.62 = 1,158.99 : x
  2. Step 2: Convert to fraction form
    2,802.67/4,203.62 = 1,158.99/x
  3. Step 3: Cross multiply
    2,802.67x = 4,203.62 × 1,158.99
  4. Step 4: Simplify right side
    2,802.67x = 4,871,953.54
  5. Step 5: Solve for x
    x = 4,871,953.54/2,802.67
  6. Step 6: Final answer
    x = 1,738.33

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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.