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Finding the Fourth Proportional to 3,097.42, 4,638.21 and 1,709.22

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Solution

The fourth proportional to 3,097.42, 4,638.21 and 1,709.22 is: 2,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.42 : 4,638.21 = 1,709.22 : x
  2. Step 2: Convert to fraction form
    3,097.42/4,638.21 = 1,709.22/x
  3. Step 3: Cross multiply
    3,097.42x = 4,638.21 × 1,709.22
  4. Step 4: Simplify right side
    3,097.42x = 7,927,715.80
  5. Step 5: Solve for x
    x = 7,927,715.80/3,097.42
  6. Step 6: Final answer
    x = 2,559.46

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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.