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Finding the Fourth Proportional to 2,603.03, 3,592.10 and 1,424.07

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Solution

The fourth proportional to 2,603.03, 3,592.10 and 1,424.07 is: 1,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.03 : 3,592.10 = 1,424.07 : x
  2. Step 2: Convert to fraction form
    2,603.03/3,592.10 = 1,424.07/x
  3. Step 3: Cross multiply
    2,603.03x = 3,592.10 × 1,424.07
  4. Step 4: Simplify right side
    2,603.03x = 5,115,394.73
  5. Step 5: Solve for x
    x = 5,115,394.73/2,603.03
  6. Step 6: Final answer
    x = 1,965.17

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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.