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Finding the Fourth Proportional to 1,838.64, 2,536.20 and 1,313.76

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Solution

The fourth proportional to 1,838.64, 2,536.20 and 1,313.76 is: 1,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.64 : 2,536.20 = 1,313.76 : x
  2. Step 2: Convert to fraction form
    1,838.64/2,536.20 = 1,313.76/x
  3. Step 3: Cross multiply
    1,838.64x = 2,536.20 × 1,313.76
  4. Step 4: Simplify right side
    1,838.64x = 3,331,958.11
  5. Step 5: Solve for x
    x = 3,331,958.11/1,838.64
  6. Step 6: Final answer
    x = 1,812.19

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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.