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Finding the Fourth Proportional to 2,070.90, 2,857.84 and 1,139.40

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Solution

The fourth proportional to 2,070.90, 2,857.84 and 1,139.40 is: 1,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.90 : 2,857.84 = 1,139.40 : x
  2. Step 2: Convert to fraction form
    2,070.90/2,857.84 = 1,139.40/x
  3. Step 3: Cross multiply
    2,070.90x = 2,857.84 × 1,139.40
  4. Step 4: Simplify right side
    2,070.90x = 3,256,222.90
  5. Step 5: Solve for x
    x = 3,256,222.90/2,070.90
  6. Step 6: Final answer
    x = 1,572.37

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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.