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Finding the Fourth Proportional to 3,041.76, 4,562.65 and 850.51

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Solution

The fourth proportional to 3,041.76, 4,562.65 and 850.51 is: 1,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.76 : 4,562.65 = 850.51 : x
  2. Step 2: Convert to fraction form
    3,041.76/4,562.65 = 850.51/x
  3. Step 3: Cross multiply
    3,041.76x = 4,562.65 × 850.51
  4. Step 4: Simplify right side
    3,041.76x = 3,880,586.22
  5. Step 5: Solve for x
    x = 3,880,586.22/3,041.76
  6. Step 6: Final answer
    x = 1,275.77

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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.