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Finding the Fourth Proportional to 2,937.48, 4,406.24 and 989.68

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Solution

The fourth proportional to 2,937.48, 4,406.24 and 989.68 is: 1,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.48 : 4,406.24 = 989.68 : x
  2. Step 2: Convert to fraction form
    2,937.48/4,406.24 = 989.68/x
  3. Step 3: Cross multiply
    2,937.48x = 4,406.24 × 989.68
  4. Step 4: Simplify right side
    2,937.48x = 4,360,767.60
  5. Step 5: Solve for x
    x = 4,360,767.60/2,937.48
  6. Step 6: Final answer
    x = 1,484.53

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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.