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Finding the Fourth Proportional to 2,354.57, 3,531.83 and 1,430.38

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Solution

The fourth proportional to 2,354.57, 3,531.83 and 1,430.38 is: 2,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.57 : 3,531.83 = 1,430.38 : x
  2. Step 2: Convert to fraction form
    2,354.57/3,531.83 = 1,430.38/x
  3. Step 3: Cross multiply
    2,354.57x = 3,531.83 × 1,430.38
  4. Step 4: Simplify right side
    2,354.57x = 5,051,843.01
  5. Step 5: Solve for x
    x = 5,051,843.01/2,354.57
  6. Step 6: Final answer
    x = 2,145.55

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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.