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Finding the Fourth Proportional to 2,358.99, 3,538.01 and 2,241.90

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Solution

The fourth proportional to 2,358.99, 3,538.01 and 2,241.90 is: 3,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.99 : 3,538.01 = 2,241.90 : x
  2. Step 2: Convert to fraction form
    2,358.99/3,538.01 = 2,241.90/x
  3. Step 3: Cross multiply
    2,358.99x = 3,538.01 × 2,241.90
  4. Step 4: Simplify right side
    2,358.99x = 7,931,870.22
  5. Step 5: Solve for x
    x = 7,931,870.22/2,358.99
  6. Step 6: Final answer
    x = 3,362.40

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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.