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Finding the Fourth Proportional to 2,356.89, 3,537.03 and 1,900.19

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Solution

The fourth proportional to 2,356.89, 3,537.03 and 1,900.19 is: 2,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.89 : 3,537.03 = 1,900.19 : x
  2. Step 2: Convert to fraction form
    2,356.89/3,537.03 = 1,900.19/x
  3. Step 3: Cross multiply
    2,356.89x = 3,537.03 × 1,900.19
  4. Step 4: Simplify right side
    2,356.89x = 6,721,011.35
  5. Step 5: Solve for x
    x = 6,721,011.35/2,356.89
  6. Step 6: Final answer
    x = 2,851.64

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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.