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Finding the Fourth Proportional to 2,361.87, 3,256.35 and 1,477.35

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Solution

The fourth proportional to 2,361.87, 3,256.35 and 1,477.35 is: 2,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.87 : 3,256.35 = 1,477.35 : x
  2. Step 2: Convert to fraction form
    2,361.87/3,256.35 = 1,477.35/x
  3. Step 3: Cross multiply
    2,361.87x = 3,256.35 × 1,477.35
  4. Step 4: Simplify right side
    2,361.87x = 4,810,768.67
  5. Step 5: Solve for x
    x = 4,810,768.67/2,361.87
  6. Step 6: Final answer
    x = 2,036.85

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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.