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Finding the Fourth Proportional to 1,603.58, 2,388.38 and 1,546.20

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Solution

The fourth proportional to 1,603.58, 2,388.38 and 1,546.20 is: 2,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.58 : 2,388.38 = 1,546.20 : x
  2. Step 2: Convert to fraction form
    1,603.58/2,388.38 = 1,546.20/x
  3. Step 3: Cross multiply
    1,603.58x = 2,388.38 × 1,546.20
  4. Step 4: Simplify right side
    1,603.58x = 3,692,905.43
  5. Step 5: Solve for x
    x = 3,692,905.43/1,603.58
  6. Step 6: Final answer
    x = 2,302.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.