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Finding the Fourth Proportional to 1,752.42, 2,623.74 and 1,478.64

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Solution

The fourth proportional to 1,752.42, 2,623.74 and 1,478.64 is: 2,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.42 : 2,623.74 = 1,478.64 : x
  2. Step 2: Convert to fraction form
    1,752.42/2,623.74 = 1,478.64/x
  3. Step 3: Cross multiply
    1,752.42x = 2,623.74 × 1,478.64
  4. Step 4: Simplify right side
    1,752.42x = 3,879,566.91
  5. Step 5: Solve for x
    x = 3,879,566.91/1,752.42
  6. Step 6: Final answer
    x = 2,213.83

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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.