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Finding the Fourth Proportional to 2,435.34, 3,654.77 and 974.90

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Solution

The fourth proportional to 2,435.34, 3,654.77 and 974.90 is: 1,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.34 : 3,654.77 = 974.90 : x
  2. Step 2: Convert to fraction form
    2,435.34/3,654.77 = 974.90/x
  3. Step 3: Cross multiply
    2,435.34x = 3,654.77 × 974.90
  4. Step 4: Simplify right side
    2,435.34x = 3,563,035.27
  5. Step 5: Solve for x
    x = 3,563,035.27/2,435.34
  6. Step 6: Final answer
    x = 1,463.05

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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.