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Finding the Fourth Proportional to 2,434.02, 3,653.76 and 974.19

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Solution

The fourth proportional to 2,434.02, 3,653.76 and 974.19 is: 1,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.02 : 3,653.76 = 974.19 : x
  2. Step 2: Convert to fraction form
    2,434.02/3,653.76 = 974.19/x
  3. Step 3: Cross multiply
    2,434.02x = 3,653.76 × 974.19
  4. Step 4: Simplify right side
    2,434.02x = 3,559,456.45
  5. Step 5: Solve for x
    x = 3,559,456.45/2,434.02
  6. Step 6: Final answer
    x = 1,462.38

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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.