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Finding the Fourth Proportional to 2,711.77, 4,070.16 and 1,673.80

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Solution

The fourth proportional to 2,711.77, 4,070.16 and 1,673.80 is: 2,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.77 : 4,070.16 = 1,673.80 : x
  2. Step 2: Convert to fraction form
    2,711.77/4,070.16 = 1,673.80/x
  3. Step 3: Cross multiply
    2,711.77x = 4,070.16 × 1,673.80
  4. Step 4: Simplify right side
    2,711.77x = 6,812,606.81
  5. Step 5: Solve for x
    x = 6,812,606.81/2,711.77
  6. Step 6: Final answer
    x = 2,512.24

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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.