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Finding the Fourth Proportional to 2,532.34, 3,798.62 and 777.21

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Solution

The fourth proportional to 2,532.34, 3,798.62 and 777.21 is: 1,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.34 : 3,798.62 = 777.21 : x
  2. Step 2: Convert to fraction form
    2,532.34/3,798.62 = 777.21/x
  3. Step 3: Cross multiply
    2,532.34x = 3,798.62 × 777.21
  4. Step 4: Simplify right side
    2,532.34x = 2,952,325.45
  5. Step 5: Solve for x
    x = 2,952,325.45/2,532.34
  6. Step 6: Final answer
    x = 1,165.85

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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.