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Finding the Fourth Proportional to 1,599.75, 2,206.14 and 1,040.65

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Solution

The fourth proportional to 1,599.75, 2,206.14 and 1,040.65 is: 1,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.75 : 2,206.14 = 1,040.65 : x
  2. Step 2: Convert to fraction form
    1,599.75/2,206.14 = 1,040.65/x
  3. Step 3: Cross multiply
    1,599.75x = 2,206.14 × 1,040.65
  4. Step 4: Simplify right side
    1,599.75x = 2,295,810.17
  5. Step 5: Solve for x
    x = 2,295,810.17/1,599.75
  6. Step 6: Final answer
    x = 1,435.11

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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.