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Finding the Fourth Proportional to 2,764.80, 4,145.13 and 1,668.93

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Solution

The fourth proportional to 2,764.80, 4,145.13 and 1,668.93 is: 2,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.80 : 4,145.13 = 1,668.93 : x
  2. Step 2: Convert to fraction form
    2,764.80/4,145.13 = 1,668.93/x
  3. Step 3: Cross multiply
    2,764.80x = 4,145.13 × 1,668.93
  4. Step 4: Simplify right side
    2,764.80x = 6,917,931.81
  5. Step 5: Solve for x
    x = 6,917,931.81/2,764.80
  6. Step 6: Final answer
    x = 2,502.15

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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.