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Finding the Fourth Proportional to 2,140.57, 2,962.09 and 1,825.35

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Solution

The fourth proportional to 2,140.57, 2,962.09 and 1,825.35 is: 2,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.57 : 2,962.09 = 1,825.35 : x
  2. Step 2: Convert to fraction form
    2,140.57/2,962.09 = 1,825.35/x
  3. Step 3: Cross multiply
    2,140.57x = 2,962.09 × 1,825.35
  4. Step 4: Simplify right side
    2,140.57x = 5,406,850.98
  5. Step 5: Solve for x
    x = 5,406,850.98/2,140.57
  6. Step 6: Final answer
    x = 2,525.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.