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Finding the Fourth Proportional to 2,485.96, 3,430.67 and 1,367

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Solution

The fourth proportional to 2,485.96, 3,430.67 and 1,367 is: 1,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.96 : 3,430.67 = 1,367 : x
  2. Step 2: Convert to fraction form
    2,485.96/3,430.67 = 1,367/x
  3. Step 3: Cross multiply
    2,485.96x = 3,430.67 × 1,367
  4. Step 4: Simplify right side
    2,485.96x = 4,689,725.89
  5. Step 5: Solve for x
    x = 4,689,725.89/2,485.96
  6. Step 6: Final answer
    x = 1,886.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.