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Finding the Fourth Proportional to 2,603.04, 3,592 and 1,424.04

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Solution

The fourth proportional to 2,603.04, 3,592 and 1,424.04 is: 1,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.04 : 3,592 = 1,424.04 : x
  2. Step 2: Convert to fraction form
    2,603.04/3,592 = 1,424.04/x
  3. Step 3: Cross multiply
    2,603.04x = 3,592 × 1,424.04
  4. Step 4: Simplify right side
    2,603.04x = 5,115,151.68
  5. Step 5: Solve for x
    x = 5,115,151.68/2,603.04
  6. Step 6: Final answer
    x = 1,965.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.