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Finding the Fourth Proportional to 1,664.91, 2,497.50 and 611.01

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Solution

The fourth proportional to 1,664.91, 2,497.50 and 611.01 is: 916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.91 : 2,497.50 = 611.01 : x
  2. Step 2: Convert to fraction form
    1,664.91/2,497.50 = 611.01/x
  3. Step 3: Cross multiply
    1,664.91x = 2,497.50 × 611.01
  4. Step 4: Simplify right side
    1,664.91x = 1,525,997.48
  5. Step 5: Solve for x
    x = 1,525,997.48/1,664.91
  6. Step 6: Final answer
    x = 916.56

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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.