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Finding the Fourth Proportional to 2,520.36, 3,775.74 and 1,421.40

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Solution

The fourth proportional to 2,520.36, 3,775.74 and 1,421.40 is: 2,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.36 : 3,775.74 = 1,421.40 : x
  2. Step 2: Convert to fraction form
    2,520.36/3,775.74 = 1,421.40/x
  3. Step 3: Cross multiply
    2,520.36x = 3,775.74 × 1,421.40
  4. Step 4: Simplify right side
    2,520.36x = 5,366,836.84
  5. Step 5: Solve for x
    x = 5,366,836.84/2,520.36
  6. Step 6: Final answer
    x = 2,129.39

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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.