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Finding the Fourth Proportional to 2,357.78, 3,536.26 and 897.01

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Solution

The fourth proportional to 2,357.78, 3,536.26 and 897.01 is: 1,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.78 : 3,536.26 = 897.01 : x
  2. Step 2: Convert to fraction form
    2,357.78/3,536.26 = 897.01/x
  3. Step 3: Cross multiply
    2,357.78x = 3,536.26 × 897.01
  4. Step 4: Simplify right side
    2,357.78x = 3,172,049.50
  5. Step 5: Solve for x
    x = 3,172,049.50/2,357.78
  6. Step 6: Final answer
    x = 1,345.36

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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.