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Finding the Fourth Proportional to 1,603.02, 2,212.20 and 904.26

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Solution

The fourth proportional to 1,603.02, 2,212.20 and 904.26 is: 1,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.02 : 2,212.20 = 904.26 : x
  2. Step 2: Convert to fraction form
    1,603.02/2,212.20 = 904.26/x
  3. Step 3: Cross multiply
    1,603.02x = 2,212.20 × 904.26
  4. Step 4: Simplify right side
    1,603.02x = 2,000,403.97
  5. Step 5: Solve for x
    x = 2,000,403.97/1,603.02
  6. Step 6: Final answer
    x = 1,247.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.