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Finding the Fourth Proportional to 2,357.39, 3,537.77 and 1,900.69

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Solution

The fourth proportional to 2,357.39, 3,537.77 and 1,900.69 is: 2,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.39 : 3,537.77 = 1,900.69 : x
  2. Step 2: Convert to fraction form
    2,357.39/3,537.77 = 1,900.69/x
  3. Step 3: Cross multiply
    2,357.39x = 3,537.77 × 1,900.69
  4. Step 4: Simplify right side
    2,357.39x = 6,724,204.06
  5. Step 5: Solve for x
    x = 6,724,204.06/2,357.39
  6. Step 6: Final answer
    x = 2,852.39

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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.