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Finding the Fourth Proportional to 1,486.37, 2,216.48 and 1,382.49

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Solution

The fourth proportional to 1,486.37, 2,216.48 and 1,382.49 is: 2,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.37 : 2,216.48 = 1,382.49 : x
  2. Step 2: Convert to fraction form
    1,486.37/2,216.48 = 1,382.49/x
  3. Step 3: Cross multiply
    1,486.37x = 2,216.48 × 1,382.49
  4. Step 4: Simplify right side
    1,486.37x = 3,064,254.52
  5. Step 5: Solve for x
    x = 3,064,254.52/1,486.37
  6. Step 6: Final answer
    x = 2,061.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.