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Finding the Fourth Proportional to 2,070.94, 3,107.02 and 610.10

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Solution

The fourth proportional to 2,070.94, 3,107.02 and 610.10 is: 915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.94 : 3,107.02 = 610.10 : x
  2. Step 2: Convert to fraction form
    2,070.94/3,107.02 = 610.10/x
  3. Step 3: Cross multiply
    2,070.94x = 3,107.02 × 610.10
  4. Step 4: Simplify right side
    2,070.94x = 1,895,592.90
  5. Step 5: Solve for x
    x = 1,895,592.90/2,070.94
  6. Step 6: Final answer
    x = 915.33

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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.