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Finding the Fourth Proportional to 2,059.13, 3,085.79 and 1,670.06

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Solution

The fourth proportional to 2,059.13, 3,085.79 and 1,670.06 is: 2,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.13 : 3,085.79 = 1,670.06 : x
  2. Step 2: Convert to fraction form
    2,059.13/3,085.79 = 1,670.06/x
  3. Step 3: Cross multiply
    2,059.13x = 3,085.79 × 1,670.06
  4. Step 4: Simplify right side
    2,059.13x = 5,153,430.67
  5. Step 5: Solve for x
    x = 5,153,430.67/2,059.13
  6. Step 6: Final answer
    x = 2,502.73

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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.