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Finding the Fourth Proportional to 2,803.77, 4,202.87 and 1,161.45

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Solution

The fourth proportional to 2,803.77, 4,202.87 and 1,161.45 is: 1,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.77 : 4,202.87 = 1,161.45 : x
  2. Step 2: Convert to fraction form
    2,803.77/4,202.87 = 1,161.45/x
  3. Step 3: Cross multiply
    2,803.77x = 4,202.87 × 1,161.45
  4. Step 4: Simplify right side
    2,803.77x = 4,881,417.55
  5. Step 5: Solve for x
    x = 4,881,417.55/2,803.77
  6. Step 6: Final answer
    x = 1,741.02

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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.