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Finding the Fourth Proportional to 1,536.71, 2,120.65 and 838.08

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Solution

The fourth proportional to 1,536.71, 2,120.65 and 838.08 is: 1,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.71 : 2,120.65 = 838.08 : x
  2. Step 2: Convert to fraction form
    1,536.71/2,120.65 = 838.08/x
  3. Step 3: Cross multiply
    1,536.71x = 2,120.65 × 838.08
  4. Step 4: Simplify right side
    1,536.71x = 1,777,274.35
  5. Step 5: Solve for x
    x = 1,777,274.35/1,536.71
  6. Step 6: Final answer
    x = 1,156.55

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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.