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Finding the Fourth Proportional to 1,470.23, 2,193.94 and 1,314.44

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Solution

The fourth proportional to 1,470.23, 2,193.94 and 1,314.44 is: 1,961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.23 : 2,193.94 = 1,314.44 : x
  2. Step 2: Convert to fraction form
    1,470.23/2,193.94 = 1,314.44/x
  3. Step 3: Cross multiply
    1,470.23x = 2,193.94 × 1,314.44
  4. Step 4: Simplify right side
    1,470.23x = 2,883,802.49
  5. Step 5: Solve for x
    x = 2,883,802.49/1,470.23
  6. Step 6: Final answer
    x = 1,961.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.