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Finding the Fourth Proportional to 2,610, 3,915 and 2,577.60

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Solution

The fourth proportional to 2,610, 3,915 and 2,577.60 is: 3,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610 : 3,915 = 2,577.60 : x
  2. Step 2: Convert to fraction form
    2,610/3,915 = 2,577.60/x
  3. Step 3: Cross multiply
    2,610x = 3,915 × 2,577.60
  4. Step 4: Simplify right side
    2,610x = 10,091,304
  5. Step 5: Solve for x
    x = 10,091,304/2,610
  6. Step 6: Final answer
    x = 3,866.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.