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Finding the Fourth Proportional to 1,972.76, 2,710.23 and 1,765.64

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Solution

The fourth proportional to 1,972.76, 2,710.23 and 1,765.64 is: 2,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.76 : 2,710.23 = 1,765.64 : x
  2. Step 2: Convert to fraction form
    1,972.76/2,710.23 = 1,765.64/x
  3. Step 3: Cross multiply
    1,972.76x = 2,710.23 × 1,765.64
  4. Step 4: Simplify right side
    1,972.76x = 4,785,281.67
  5. Step 5: Solve for x
    x = 4,785,281.67/1,972.76
  6. Step 6: Final answer
    x = 2,425.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.