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Finding the Fourth Proportional to 1,855.24, 2,559.04 and 1,225.48

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Solution

The fourth proportional to 1,855.24, 2,559.04 and 1,225.48 is: 1,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.24 : 2,559.04 = 1,225.48 : x
  2. Step 2: Convert to fraction form
    1,855.24/2,559.04 = 1,225.48/x
  3. Step 3: Cross multiply
    1,855.24x = 2,559.04 × 1,225.48
  4. Step 4: Simplify right side
    1,855.24x = 3,136,052.34
  5. Step 5: Solve for x
    x = 3,136,052.34/1,855.24
  6. Step 6: Final answer
    x = 1,690.38

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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.