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Finding the Fourth Proportional to 2,391, 3,585.16 and 1,900.55

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Solution

The fourth proportional to 2,391, 3,585.16 and 1,900.55 is: 2,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391 : 3,585.16 = 1,900.55 : x
  2. Step 2: Convert to fraction form
    2,391/3,585.16 = 1,900.55/x
  3. Step 3: Cross multiply
    2,391x = 3,585.16 × 1,900.55
  4. Step 4: Simplify right side
    2,391x = 6,813,775.84
  5. Step 5: Solve for x
    x = 6,813,775.84/2,391
  6. Step 6: Final answer
    x = 2,849.76

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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.