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Finding the Fourth Proportional to 2,245.81, 3,098.14 and 1,745.02

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Solution

The fourth proportional to 2,245.81, 3,098.14 and 1,745.02 is: 2,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.81 : 3,098.14 = 1,745.02 : x
  2. Step 2: Convert to fraction form
    2,245.81/3,098.14 = 1,745.02/x
  3. Step 3: Cross multiply
    2,245.81x = 3,098.14 × 1,745.02
  4. Step 4: Simplify right side
    2,245.81x = 5,406,316.26
  5. Step 5: Solve for x
    x = 5,406,316.26/2,245.81
  6. Step 6: Final answer
    x = 2,407.29

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1.5x scale

Why These Related Problems?

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