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Finding the Fourth Proportional to 2,477.16, 3,698.06 and 2,390.65

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Solution

The fourth proportional to 2,477.16, 3,698.06 and 2,390.65 is: 3,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.16 : 3,698.06 = 2,390.65 : x
  2. Step 2: Convert to fraction form
    2,477.16/3,698.06 = 2,390.65/x
  3. Step 3: Cross multiply
    2,477.16x = 3,698.06 × 2,390.65
  4. Step 4: Simplify right side
    2,477.16x = 8,840,745.94
  5. Step 5: Solve for x
    x = 8,840,745.94/2,477.16
  6. Step 6: Final answer
    x = 3,568.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.