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Finding the Fourth Proportional to 2,603.16, 3,591 and 2,106.36

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Solution

The fourth proportional to 2,603.16, 3,591 and 2,106.36 is: 2,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.16 : 3,591 = 2,106.36 : x
  2. Step 2: Convert to fraction form
    2,603.16/3,591 = 2,106.36/x
  3. Step 3: Cross multiply
    2,603.16x = 3,591 × 2,106.36
  4. Step 4: Simplify right side
    2,603.16x = 7,563,938.76
  5. Step 5: Solve for x
    x = 7,563,938.76/2,603.16
  6. Step 6: Final answer
    x = 2,905.68

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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.