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Finding the Fourth Proportional to 1,653.86, 2,479.44 and 613.19

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Solution

The fourth proportional to 1,653.86, 2,479.44 and 613.19 is: 919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.86 : 2,479.44 = 613.19 : x
  2. Step 2: Convert to fraction form
    1,653.86/2,479.44 = 613.19/x
  3. Step 3: Cross multiply
    1,653.86x = 2,479.44 × 613.19
  4. Step 4: Simplify right side
    1,653.86x = 1,520,367.81
  5. Step 5: Solve for x
    x = 1,520,367.81/1,653.86
  6. Step 6: Final answer
    x = 919.28

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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.