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Finding the Fourth Proportional to 1,970.60, 2,661.75 and 1,970.60

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Solution

The fourth proportional to 1,970.60, 2,661.75 and 1,970.60 is: 2,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.60 : 2,661.75 = 1,970.60 : x
  2. Step 2: Convert to fraction form
    1,970.60/2,661.75 = 1,970.60/x
  3. Step 3: Cross multiply
    1,970.60x = 2,661.75 × 1,970.60
  4. Step 4: Simplify right side
    1,970.60x = 5,245,244.55
  5. Step 5: Solve for x
    x = 5,245,244.55/1,970.60
  6. Step 6: Final answer
    x = 2,661.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.