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Finding the Fourth Proportional to 2,603.35, 3,592.69 and 1,424.43

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Solution

The fourth proportional to 2,603.35, 3,592.69 and 1,424.43 is: 1,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.35 : 3,592.69 = 1,424.43 : x
  2. Step 2: Convert to fraction form
    2,603.35/3,592.69 = 1,424.43/x
  3. Step 3: Cross multiply
    2,603.35x = 3,592.69 × 1,424.43
  4. Step 4: Simplify right side
    2,603.35x = 5,117,516.60
  5. Step 5: Solve for x
    x = 5,117,516.60/2,603.35
  6. Step 6: Final answer
    x = 1,965.74

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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.