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Finding the Fourth Proportional to 2,358.86, 3,530.99 and 2,008.94

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Solution

The fourth proportional to 2,358.86, 3,530.99 and 2,008.94 is: 3,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.86 : 3,530.99 = 2,008.94 : x
  2. Step 2: Convert to fraction form
    2,358.86/3,530.99 = 2,008.94/x
  3. Step 3: Cross multiply
    2,358.86x = 3,530.99 × 2,008.94
  4. Step 4: Simplify right side
    2,358.86x = 7,093,534.42
  5. Step 5: Solve for x
    x = 7,093,534.42/2,358.86
  6. Step 6: Final answer
    x = 3,007.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.