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Finding the Fourth Proportional to 2,070.97, 3,106.88 and 1,411.22

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Solution

The fourth proportional to 2,070.97, 3,106.88 and 1,411.22 is: 2,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.97 : 3,106.88 = 1,411.22 : x
  2. Step 2: Convert to fraction form
    2,070.97/3,106.88 = 1,411.22/x
  3. Step 3: Cross multiply
    2,070.97x = 3,106.88 × 1,411.22
  4. Step 4: Simplify right side
    2,070.97x = 4,384,484.14
  5. Step 5: Solve for x
    x = 4,384,484.14/2,070.97
  6. Step 6: Final answer
    x = 2,117.12

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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.