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Finding the Fourth Proportional to 2,136.32, 2,946.88 and 1,924.88

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Solution

The fourth proportional to 2,136.32, 2,946.88 and 1,924.88 is: 2,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.32 : 2,946.88 = 1,924.88 : x
  2. Step 2: Convert to fraction form
    2,136.32/2,946.88 = 1,924.88/x
  3. Step 3: Cross multiply
    2,136.32x = 2,946.88 × 1,924.88
  4. Step 4: Simplify right side
    2,136.32x = 5,672,390.37
  5. Step 5: Solve for x
    x = 5,672,390.37/2,136.32
  6. Step 6: Final answer
    x = 2,655.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.