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Finding the Fourth Proportional to 1,603, 2,212.14 and 904.51

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Solution

The fourth proportional to 1,603, 2,212.14 and 904.51 is: 1,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603 : 2,212.14 = 904.51 : x
  2. Step 2: Convert to fraction form
    1,603/2,212.14 = 904.51/x
  3. Step 3: Cross multiply
    1,603x = 2,212.14 × 904.51
  4. Step 4: Simplify right side
    1,603x = 2,000,902.75
  5. Step 5: Solve for x
    x = 2,000,902.75/1,603
  6. Step 6: Final answer
    x = 1,248.22

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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.