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Finding the Fourth Proportional to 2,073.94, 3,110.91 and 534.94

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Solution

The fourth proportional to 2,073.94, 3,110.91 and 534.94 is: 802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.94 : 3,110.91 = 534.94 : x
  2. Step 2: Convert to fraction form
    2,073.94/3,110.91 = 534.94/x
  3. Step 3: Cross multiply
    2,073.94x = 3,110.91 × 534.94
  4. Step 4: Simplify right side
    2,073.94x = 1,664,140.41
  5. Step 5: Solve for x
    x = 1,664,140.41/2,073.94
  6. Step 6: Final answer
    x = 802.41

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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.