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Finding the Fourth Proportional to 1,798.72, 2,486.46 and 1,782.16

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Solution

The fourth proportional to 1,798.72, 2,486.46 and 1,782.16 is: 2,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.72 : 2,486.46 = 1,782.16 : x
  2. Step 2: Convert to fraction form
    1,798.72/2,486.46 = 1,782.16/x
  3. Step 3: Cross multiply
    1,798.72x = 2,486.46 × 1,782.16
  4. Step 4: Simplify right side
    1,798.72x = 4,431,269.55
  5. Step 5: Solve for x
    x = 4,431,269.55/1,798.72
  6. Step 6: Final answer
    x = 2,463.57

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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.