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Finding the Fourth Proportional to 2,974.24, 4,465.72 and 2,921.74

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Solution

The fourth proportional to 2,974.24, 4,465.72 and 2,921.74 is: 4,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.24 : 4,465.72 = 2,921.74 : x
  2. Step 2: Convert to fraction form
    2,974.24/4,465.72 = 2,921.74/x
  3. Step 3: Cross multiply
    2,974.24x = 4,465.72 × 2,921.74
  4. Step 4: Simplify right side
    2,974.24x = 13,047,672.75
  5. Step 5: Solve for x
    x = 13,047,672.75/2,974.24
  6. Step 6: Final answer
    x = 4,386.89

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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.