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Finding the Fourth Proportional to 1,855, 2,559.66 and 1,069.24

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Solution

The fourth proportional to 1,855, 2,559.66 and 1,069.24 is: 1,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855 : 2,559.66 = 1,069.24 : x
  2. Step 2: Convert to fraction form
    1,855/2,559.66 = 1,069.24/x
  3. Step 3: Cross multiply
    1,855x = 2,559.66 × 1,069.24
  4. Step 4: Simplify right side
    1,855x = 2,736,890.86
  5. Step 5: Solve for x
    x = 2,736,890.86/1,855
  6. Step 6: Final answer
    x = 1,475.41

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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.