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Finding the Fourth Proportional to 2,070.06, 2,857.01 and 1,465.33

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Solution

The fourth proportional to 2,070.06, 2,857.01 and 1,465.33 is: 2,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.06 : 2,857.01 = 1,465.33 : x
  2. Step 2: Convert to fraction form
    2,070.06/2,857.01 = 1,465.33/x
  3. Step 3: Cross multiply
    2,070.06x = 2,857.01 × 1,465.33
  4. Step 4: Simplify right side
    2,070.06x = 4,186,453.35
  5. Step 5: Solve for x
    x = 4,186,453.35/2,070.06
  6. Step 6: Final answer
    x = 2,022.38

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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.