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Finding the Fourth Proportional to 2,101.40, 3,147.40 and 1,775.52

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Solution

The fourth proportional to 2,101.40, 3,147.40 and 1,775.52 is: 2,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.40 : 3,147.40 = 1,775.52 : x
  2. Step 2: Convert to fraction form
    2,101.40/3,147.40 = 1,775.52/x
  3. Step 3: Cross multiply
    2,101.40x = 3,147.40 × 1,775.52
  4. Step 4: Simplify right side
    2,101.40x = 5,588,271.65
  5. Step 5: Solve for x
    x = 5,588,271.65/2,101.40
  6. Step 6: Final answer
    x = 2,659.31

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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.