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Finding the Fourth Proportional to 2,354.07, 3,524.61 and 1,572.99

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Solution

The fourth proportional to 2,354.07, 3,524.61 and 1,572.99 is: 2,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.07 : 3,524.61 = 1,572.99 : x
  2. Step 2: Convert to fraction form
    2,354.07/3,524.61 = 1,572.99/x
  3. Step 3: Cross multiply
    2,354.07x = 3,524.61 × 1,572.99
  4. Step 4: Simplify right side
    2,354.07x = 5,544,195.40
  5. Step 5: Solve for x
    x = 5,544,195.40/2,354.07
  6. Step 6: Final answer
    x = 2,355.16

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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.