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Finding the Fourth Proportional to 2,357.95, 3,538.46 and 897.11

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Solution

The fourth proportional to 2,357.95, 3,538.46 and 897.11 is: 1,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.95 : 3,538.46 = 897.11 : x
  2. Step 2: Convert to fraction form
    2,357.95/3,538.46 = 897.11/x
  3. Step 3: Cross multiply
    2,357.95x = 3,538.46 × 897.11
  4. Step 4: Simplify right side
    2,357.95x = 3,174,403.05
  5. Step 5: Solve for x
    x = 3,174,403.05/2,357.95
  6. Step 6: Final answer
    x = 1,346.26

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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.