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Finding the Fourth Proportional to 2,084.63, 3,125.15 and 1,160.45

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Solution

The fourth proportional to 2,084.63, 3,125.15 and 1,160.45 is: 1,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.63 : 3,125.15 = 1,160.45 : x
  2. Step 2: Convert to fraction form
    2,084.63/3,125.15 = 1,160.45/x
  3. Step 3: Cross multiply
    2,084.63x = 3,125.15 × 1,160.45
  4. Step 4: Simplify right side
    2,084.63x = 3,626,580.32
  5. Step 5: Solve for x
    x = 3,626,580.32/2,084.63
  6. Step 6: Final answer
    x = 1,739.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.