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Finding the Fourth Proportional to 2,106.66, 3,159.46 and 874.41

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Solution

The fourth proportional to 2,106.66, 3,159.46 and 874.41 is: 1,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.66 : 3,159.46 = 874.41 : x
  2. Step 2: Convert to fraction form
    2,106.66/3,159.46 = 874.41/x
  3. Step 3: Cross multiply
    2,106.66x = 3,159.46 × 874.41
  4. Step 4: Simplify right side
    2,106.66x = 2,762,663.42
  5. Step 5: Solve for x
    x = 2,762,663.42/2,106.66
  6. Step 6: Final answer
    x = 1,311.40

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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.