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Finding the Fourth Proportional to 1,859.93, 2,567.06 and 1,230.48

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Solution

The fourth proportional to 1,859.93, 2,567.06 and 1,230.48 is: 1,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.93 : 2,567.06 = 1,230.48 : x
  2. Step 2: Convert to fraction form
    1,859.93/2,567.06 = 1,230.48/x
  3. Step 3: Cross multiply
    1,859.93x = 2,567.06 × 1,230.48
  4. Step 4: Simplify right side
    1,859.93x = 3,158,709.84
  5. Step 5: Solve for x
    x = 3,158,709.84/1,859.93
  6. Step 6: Final answer
    x = 1,698.30

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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.