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Finding the Fourth Proportional to 2,224.32, 3,068.64 and 1,602.24

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Solution

The fourth proportional to 2,224.32, 3,068.64 and 1,602.24 is: 2,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.32 : 3,068.64 = 1,602.24 : x
  2. Step 2: Convert to fraction form
    2,224.32/3,068.64 = 1,602.24/x
  3. Step 3: Cross multiply
    2,224.32x = 3,068.64 × 1,602.24
  4. Step 4: Simplify right side
    2,224.32x = 4,916,697.75
  5. Step 5: Solve for x
    x = 4,916,697.75/2,224.32
  6. Step 6: Final answer
    x = 2,210.43

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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.