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Finding the Fourth Proportional to 2,704.74, 4,057.24 and 973.40

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Solution

The fourth proportional to 2,704.74, 4,057.24 and 973.40 is: 1,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.74 : 4,057.24 = 973.40 : x
  2. Step 2: Convert to fraction form
    2,704.74/4,057.24 = 973.40/x
  3. Step 3: Cross multiply
    2,704.74x = 4,057.24 × 973.40
  4. Step 4: Simplify right side
    2,704.74x = 3,949,317.42
  5. Step 5: Solve for x
    x = 3,949,317.42/2,704.74
  6. Step 6: Final answer
    x = 1,460.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.