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Finding the Fourth Proportional to 2,357.99, 3,537.02 and 897.22

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Solution

The fourth proportional to 2,357.99, 3,537.02 and 897.22 is: 1,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.99 : 3,537.02 = 897.22 : x
  2. Step 2: Convert to fraction form
    2,357.99/3,537.02 = 897.22/x
  3. Step 3: Cross multiply
    2,357.99x = 3,537.02 × 897.22
  4. Step 4: Simplify right side
    2,357.99x = 3,173,486.70
  5. Step 5: Solve for x
    x = 3,173,486.70/2,357.99
  6. Step 6: Final answer
    x = 1,345.84

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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.