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Finding the Fourth Proportional to 3,484.86, 4,809.06 and 1,912.92

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Solution

The fourth proportional to 3,484.86, 4,809.06 and 1,912.92 is: 2,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.86 : 4,809.06 = 1,912.92 : x
  2. Step 2: Convert to fraction form
    3,484.86/4,809.06 = 1,912.92/x
  3. Step 3: Cross multiply
    3,484.86x = 4,809.06 × 1,912.92
  4. Step 4: Simplify right side
    3,484.86x = 9,199,347.06
  5. Step 5: Solve for x
    x = 9,199,347.06/3,484.86
  6. Step 6: Final answer
    x = 2,639.80

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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.