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Finding the Fourth Proportional to 2,704.42, 4,056.57 and 973.06

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Solution

The fourth proportional to 2,704.42, 4,056.57 and 973.06 is: 1,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.42 : 4,056.57 = 973.06 : x
  2. Step 2: Convert to fraction form
    2,704.42/4,056.57 = 973.06/x
  3. Step 3: Cross multiply
    2,704.42x = 4,056.57 × 973.06
  4. Step 4: Simplify right side
    2,704.42x = 3,947,286.00
  5. Step 5: Solve for x
    x = 3,947,286.00/2,704.42
  6. Step 6: Final answer
    x = 1,459.57

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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.