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Finding the Fourth Proportional to 2,070.93, 3,106.42 and 610.11

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Solution

The fourth proportional to 2,070.93, 3,106.42 and 610.11 is: 915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.93 : 3,106.42 = 610.11 : x
  2. Step 2: Convert to fraction form
    2,070.93/3,106.42 = 610.11/x
  3. Step 3: Cross multiply
    2,070.93x = 3,106.42 × 610.11
  4. Step 4: Simplify right side
    2,070.93x = 1,895,257.91
  5. Step 5: Solve for x
    x = 1,895,257.91/2,070.93
  6. Step 6: Final answer
    x = 915.17

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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.