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Finding the Fourth Proportional to 3,484.96, 4,809.36 and 1,913.14

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Solution

The fourth proportional to 3,484.96, 4,809.36 and 1,913.14 is: 2,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.96 : 4,809.36 = 1,913.14 : x
  2. Step 2: Convert to fraction form
    3,484.96/4,809.36 = 1,913.14/x
  3. Step 3: Cross multiply
    3,484.96x = 4,809.36 × 1,913.14
  4. Step 4: Simplify right side
    3,484.96x = 9,200,978.99
  5. Step 5: Solve for x
    x = 9,200,978.99/3,484.96
  6. Step 6: Final answer
    x = 2,640.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.