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Finding the Fourth Proportional to 2,782.63, 3,838.73 and 1,603.02

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Solution

The fourth proportional to 2,782.63, 3,838.73 and 1,603.02 is: 2,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.63 : 3,838.73 = 1,603.02 : x
  2. Step 2: Convert to fraction form
    2,782.63/3,838.73 = 1,603.02/x
  3. Step 3: Cross multiply
    2,782.63x = 3,838.73 × 1,603.02
  4. Step 4: Simplify right side
    2,782.63x = 6,153,533.76
  5. Step 5: Solve for x
    x = 6,153,533.76/2,782.63
  6. Step 6: Final answer
    x = 2,211.41

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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.