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Finding the Fourth Proportional to 2,290.18, 3,434.94 and 974.45

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Solution

The fourth proportional to 2,290.18, 3,434.94 and 974.45 is: 1,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.18 : 3,434.94 = 974.45 : x
  2. Step 2: Convert to fraction form
    2,290.18/3,434.94 = 974.45/x
  3. Step 3: Cross multiply
    2,290.18x = 3,434.94 × 974.45
  4. Step 4: Simplify right side
    2,290.18x = 3,347,177.28
  5. Step 5: Solve for x
    x = 3,347,177.28/2,290.18
  6. Step 6: Final answer
    x = 1,461.53

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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.