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Finding the Fourth Proportional to 2,608.41, 3,914 and 1,570.50

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Solution

The fourth proportional to 2,608.41, 3,914 and 1,570.50 is: 2,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.41 : 3,914 = 1,570.50 : x
  2. Step 2: Convert to fraction form
    2,608.41/3,914 = 1,570.50/x
  3. Step 3: Cross multiply
    2,608.41x = 3,914 × 1,570.50
  4. Step 4: Simplify right side
    2,608.41x = 6,146,937
  5. Step 5: Solve for x
    x = 6,146,937/2,608.41
  6. Step 6: Final answer
    x = 2,356.58

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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.