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Finding the Fourth Proportional to 1,602.71, 2,211.72 and 904.09

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Solution

The fourth proportional to 1,602.71, 2,211.72 and 904.09 is: 1,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.71 : 2,211.72 = 904.09 : x
  2. Step 2: Convert to fraction form
    1,602.71/2,211.72 = 904.09/x
  3. Step 3: Cross multiply
    1,602.71x = 2,211.72 × 904.09
  4. Step 4: Simplify right side
    1,602.71x = 1,999,593.93
  5. Step 5: Solve for x
    x = 1,999,593.93/1,602.71
  6. Step 6: Final answer
    x = 1,247.63

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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.