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Finding the Fourth Proportional to 2,587, 3,569.97 and 1,408.05

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Solution

The fourth proportional to 2,587, 3,569.97 and 1,408.05 is: 1,943.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587 : 3,569.97 = 1,408.05 : x
  2. Step 2: Convert to fraction form
    2,587/3,569.97 = 1,408.05/x
  3. Step 3: Cross multiply
    2,587x = 3,569.97 × 1,408.05
  4. Step 4: Simplify right side
    2,587x = 5,026,696.26
  5. Step 5: Solve for x
    x = 5,026,696.26/2,587
  6. Step 6: Final answer
    x = 1,943.06

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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.