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Finding the Fourth Proportional to 1,765.10, 2,435.73 and 1,019.09

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Solution

The fourth proportional to 1,765.10, 2,435.73 and 1,019.09 is: 1,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.10 : 2,435.73 = 1,019.09 : x
  2. Step 2: Convert to fraction form
    1,765.10/2,435.73 = 1,019.09/x
  3. Step 3: Cross multiply
    1,765.10x = 2,435.73 × 1,019.09
  4. Step 4: Simplify right side
    1,765.10x = 2,482,215.91
  5. Step 5: Solve for x
    x = 2,482,215.91/1,765.10
  6. Step 6: Final answer
    x = 1,406.28

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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.