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Finding the Fourth Proportional to 1,684.83, 2,537.37 and 1,492.25

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Solution

The fourth proportional to 1,684.83, 2,537.37 and 1,492.25 is: 2,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.83 : 2,537.37 = 1,492.25 : x
  2. Step 2: Convert to fraction form
    1,684.83/2,537.37 = 1,492.25/x
  3. Step 3: Cross multiply
    1,684.83x = 2,537.37 × 1,492.25
  4. Step 4: Simplify right side
    1,684.83x = 3,786,390.38
  5. Step 5: Solve for x
    x = 3,786,390.38/1,684.83
  6. Step 6: Final answer
    x = 2,247.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.