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Finding the Fourth Proportional to 2,600, 3,588 and 1,496

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Solution

The fourth proportional to 2,600, 3,588 and 1,496 is: 2,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600 : 3,588 = 1,496 : x
  2. Step 2: Convert to fraction form
    2,600/3,588 = 1,496/x
  3. Step 3: Cross multiply
    2,600x = 3,588 × 1,496
  4. Step 4: Simplify right side
    2,600x = 5,367,648
  5. Step 5: Solve for x
    x = 5,367,648/2,600
  6. Step 6: Final answer
    x = 2,064.48

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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.