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Finding the Fourth Proportional to 2,055.57, 3,085.53 and 1,670.22

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Solution

The fourth proportional to 2,055.57, 3,085.53 and 1,670.22 is: 2,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.57 : 3,085.53 = 1,670.22 : x
  2. Step 2: Convert to fraction form
    2,055.57/3,085.53 = 1,670.22/x
  3. Step 3: Cross multiply
    2,055.57x = 3,085.53 × 1,670.22
  4. Step 4: Simplify right side
    2,055.57x = 5,153,513.92
  5. Step 5: Solve for x
    x = 5,153,513.92/2,055.57
  6. Step 6: Final answer
    x = 2,507.10

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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.