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Finding the Fourth Proportional to 1,909.23, 2,863.70 and 592.94

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Solution

The fourth proportional to 1,909.23, 2,863.70 and 592.94 is: 889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.23 : 2,863.70 = 592.94 : x
  2. Step 2: Convert to fraction form
    1,909.23/2,863.70 = 592.94/x
  3. Step 3: Cross multiply
    1,909.23x = 2,863.70 × 592.94
  4. Step 4: Simplify right side
    1,909.23x = 1,697,984.99
  5. Step 5: Solve for x
    x = 1,697,984.99/1,909.23
  6. Step 6: Final answer
    x = 889.36

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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.