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Finding the Fourth Proportional to 2,245.06, 3,368.76 and 1,697.08

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Solution

The fourth proportional to 2,245.06, 3,368.76 and 1,697.08 is: 2,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.06 : 3,368.76 = 1,697.08 : x
  2. Step 2: Convert to fraction form
    2,245.06/3,368.76 = 1,697.08/x
  3. Step 3: Cross multiply
    2,245.06x = 3,368.76 × 1,697.08
  4. Step 4: Simplify right side
    2,245.06x = 5,717,055.22
  5. Step 5: Solve for x
    x = 5,717,055.22/2,245.06
  6. Step 6: Final answer
    x = 2,546.50

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Why These Related Problems?

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