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Finding the Fourth Proportional to 2,259.86, 3,389.24 and 616.42

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Solution

The fourth proportional to 2,259.86, 3,389.24 and 616.42 is: 924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.86 : 3,389.24 = 616.42 : x
  2. Step 2: Convert to fraction form
    2,259.86/3,389.24 = 616.42/x
  3. Step 3: Cross multiply
    2,259.86x = 3,389.24 × 616.42
  4. Step 4: Simplify right side
    2,259.86x = 2,089,175.29
  5. Step 5: Solve for x
    x = 2,089,175.29/2,259.86
  6. Step 6: Final answer
    x = 924.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.