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Finding the Fourth Proportional to 2,577.32, 3,554.07 and 2,205.53

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Solution

The fourth proportional to 2,577.32, 3,554.07 and 2,205.53 is: 3,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.32 : 3,554.07 = 2,205.53 : x
  2. Step 2: Convert to fraction form
    2,577.32/3,554.07 = 2,205.53/x
  3. Step 3: Cross multiply
    2,577.32x = 3,554.07 × 2,205.53
  4. Step 4: Simplify right side
    2,577.32x = 7,838,590.24
  5. Step 5: Solve for x
    x = 7,838,590.24/2,577.32
  6. Step 6: Final answer
    x = 3,041.38

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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.