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Finding the Fourth Proportional to 1,612.68, 2,223.44 and 1,376.16

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Solution

The fourth proportional to 1,612.68, 2,223.44 and 1,376.16 is: 1,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.68 : 2,223.44 = 1,376.16 : x
  2. Step 2: Convert to fraction form
    1,612.68/2,223.44 = 1,376.16/x
  3. Step 3: Cross multiply
    1,612.68x = 2,223.44 × 1,376.16
  4. Step 4: Simplify right side
    1,612.68x = 3,059,809.19
  5. Step 5: Solve for x
    x = 3,059,809.19/1,612.68
  6. Step 6: Final answer
    x = 1,897.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.