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Finding the Fourth Proportional to 3,158.84, 4,358.94 and 1,761.50

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Solution

The fourth proportional to 3,158.84, 4,358.94 and 1,761.50 is: 2,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.84 : 4,358.94 = 1,761.50 : x
  2. Step 2: Convert to fraction form
    3,158.84/4,358.94 = 1,761.50/x
  3. Step 3: Cross multiply
    3,158.84x = 4,358.94 × 1,761.50
  4. Step 4: Simplify right side
    3,158.84x = 7,678,272.81
  5. Step 5: Solve for x
    x = 7,678,272.81/3,158.84
  6. Step 6: Final answer
    x = 2,430.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.