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Finding the Fourth Proportional to 3,170.84, 4,756.42 and 1,415.54

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Solution

The fourth proportional to 3,170.84, 4,756.42 and 1,415.54 is: 2,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.84 : 4,756.42 = 1,415.54 : x
  2. Step 2: Convert to fraction form
    3,170.84/4,756.42 = 1,415.54/x
  3. Step 3: Cross multiply
    3,170.84x = 4,756.42 × 1,415.54
  4. Step 4: Simplify right side
    3,170.84x = 6,732,916.43
  5. Step 5: Solve for x
    x = 6,732,916.43/3,170.84
  6. Step 6: Final answer
    x = 2,123.39

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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.