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Finding the Fourth Proportional to 2,106.74, 3,160.56 and 646

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Solution

The fourth proportional to 2,106.74, 3,160.56 and 646 is: 969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.74 : 3,160.56 = 646 : x
  2. Step 2: Convert to fraction form
    2,106.74/3,160.56 = 646/x
  3. Step 3: Cross multiply
    2,106.74x = 3,160.56 × 646
  4. Step 4: Simplify right side
    2,106.74x = 2,041,721.76
  5. Step 5: Solve for x
    x = 2,041,721.76/2,106.74
  6. Step 6: Final answer
    x = 969.14

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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.