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Finding the Fourth Proportional to 1,777.94, 2,666.16 and 623.42

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Solution

The fourth proportional to 1,777.94, 2,666.16 and 623.42 is: 934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.94 : 2,666.16 = 623.42 : x
  2. Step 2: Convert to fraction form
    1,777.94/2,666.16 = 623.42/x
  3. Step 3: Cross multiply
    1,777.94x = 2,666.16 × 623.42
  4. Step 4: Simplify right side
    1,777.94x = 1,662,137.47
  5. Step 5: Solve for x
    x = 1,662,137.47/1,777.94
  6. Step 6: Final answer
    x = 934.87

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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.