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Finding the Fourth Proportional to 3,160.98, 4,740.64 and 939.28

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Solution

The fourth proportional to 3,160.98, 4,740.64 and 939.28 is: 1,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.98 : 4,740.64 = 939.28 : x
  2. Step 2: Convert to fraction form
    3,160.98/4,740.64 = 939.28/x
  3. Step 3: Cross multiply
    3,160.98x = 4,740.64 × 939.28
  4. Step 4: Simplify right side
    3,160.98x = 4,452,788.34
  5. Step 5: Solve for x
    x = 4,452,788.34/3,160.98
  6. Step 6: Final answer
    x = 1,408.67

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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.