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Finding the Fourth Proportional to 1,602.33, 2,211.26 and 903.75

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Solution

The fourth proportional to 1,602.33, 2,211.26 and 903.75 is: 1,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.33 : 2,211.26 = 903.75 : x
  2. Step 2: Convert to fraction form
    1,602.33/2,211.26 = 903.75/x
  3. Step 3: Cross multiply
    1,602.33x = 2,211.26 × 903.75
  4. Step 4: Simplify right side
    1,602.33x = 1,998,421.71
  5. Step 5: Solve for x
    x = 1,998,421.71/1,602.33
  6. Step 6: Final answer
    x = 1,247.20

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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.