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Finding the Fourth Proportional to 2,704.82, 4,057.23 and 973.40

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Solution

The fourth proportional to 2,704.82, 4,057.23 and 973.40 is: 1,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.82 : 4,057.23 = 973.40 : x
  2. Step 2: Convert to fraction form
    2,704.82/4,057.23 = 973.40/x
  3. Step 3: Cross multiply
    2,704.82x = 4,057.23 × 973.40
  4. Step 4: Simplify right side
    2,704.82x = 3,949,307.68
  5. Step 5: Solve for x
    x = 3,949,307.68/2,704.82
  6. Step 6: Final answer
    x = 1,460.10

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1.5x scale

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.