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Finding the Fourth Proportional to 2,838.76, 4,250.50 and 1,604.32

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Solution

The fourth proportional to 2,838.76, 4,250.50 and 1,604.32 is: 2,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.76 : 4,250.50 = 1,604.32 : x
  2. Step 2: Convert to fraction form
    2,838.76/4,250.50 = 1,604.32/x
  3. Step 3: Cross multiply
    2,838.76x = 4,250.50 × 1,604.32
  4. Step 4: Simplify right side
    2,838.76x = 6,819,162.16
  5. Step 5: Solve for x
    x = 6,819,162.16/2,838.76
  6. Step 6: Final answer
    x = 2,402.16

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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.