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Finding the Fourth Proportional to 1,859.96, 2,567.16 and 1,230.60

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Solution

The fourth proportional to 1,859.96, 2,567.16 and 1,230.60 is: 1,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.96 : 2,567.16 = 1,230.60 : x
  2. Step 2: Convert to fraction form
    1,859.96/2,567.16 = 1,230.60/x
  3. Step 3: Cross multiply
    1,859.96x = 2,567.16 × 1,230.60
  4. Step 4: Simplify right side
    1,859.96x = 3,159,147.10
  5. Step 5: Solve for x
    x = 3,159,147.10/1,859.96
  6. Step 6: Final answer
    x = 1,698.50

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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.