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Finding the Fourth Proportional to 2,097.03, 3,145.53 and 536.97

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Solution

The fourth proportional to 2,097.03, 3,145.53 and 536.97 is: 805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.03 : 3,145.53 = 536.97 : x
  2. Step 2: Convert to fraction form
    2,097.03/3,145.53 = 536.97/x
  3. Step 3: Cross multiply
    2,097.03x = 3,145.53 × 536.97
  4. Step 4: Simplify right side
    2,097.03x = 1,689,055.24
  5. Step 5: Solve for x
    x = 1,689,055.24/2,097.03
  6. Step 6: Final answer
    x = 805.45

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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.