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Finding the Fourth Proportional to 1,603.51, 2,212.86 and 904.75

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Solution

The fourth proportional to 1,603.51, 2,212.86 and 904.75 is: 1,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.51 : 2,212.86 = 904.75 : x
  2. Step 2: Convert to fraction form
    1,603.51/2,212.86 = 904.75/x
  3. Step 3: Cross multiply
    1,603.51x = 2,212.86 × 904.75
  4. Step 4: Simplify right side
    1,603.51x = 2,002,085.09
  5. Step 5: Solve for x
    x = 2,002,085.09/1,603.51
  6. Step 6: Final answer
    x = 1,248.56

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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.