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Finding the Fourth Proportional to 2,470.92, 3,406.98 and 2,051.76

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Solution

The fourth proportional to 2,470.92, 3,406.98 and 2,051.76 is: 2,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.92 : 3,406.98 = 2,051.76 : x
  2. Step 2: Convert to fraction form
    2,470.92/3,406.98 = 2,051.76/x
  3. Step 3: Cross multiply
    2,470.92x = 3,406.98 × 2,051.76
  4. Step 4: Simplify right side
    2,470.92x = 6,990,305.28
  5. Step 5: Solve for x
    x = 6,990,305.28/2,470.92
  6. Step 6: Final answer
    x = 2,829.03

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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.