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Finding the Fourth Proportional to 2,110.74, 3,166.56 and 650

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Solution

The fourth proportional to 2,110.74, 3,166.56 and 650 is: 975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.74 : 3,166.56 = 650 : x
  2. Step 2: Convert to fraction form
    2,110.74/3,166.56 = 650/x
  3. Step 3: Cross multiply
    2,110.74x = 3,166.56 × 650
  4. Step 4: Simplify right side
    2,110.74x = 2,058,264
  5. Step 5: Solve for x
    x = 2,058,264/2,110.74
  6. Step 6: Final answer
    x = 975.14

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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.