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Finding the Fourth Proportional to 1,765.02, 2,435.76 and 979.06

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Solution

The fourth proportional to 1,765.02, 2,435.76 and 979.06 is: 1,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.02 : 2,435.76 = 979.06 : x
  2. Step 2: Convert to fraction form
    1,765.02/2,435.76 = 979.06/x
  3. Step 3: Cross multiply
    1,765.02x = 2,435.76 × 979.06
  4. Step 4: Simplify right side
    1,765.02x = 2,384,755.19
  5. Step 5: Solve for x
    x = 2,384,755.19/1,765.02
  6. Step 6: Final answer
    x = 1,351.12

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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.