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Finding the Fourth Proportional to 2,368.42, 3,551.37 and 828.34

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Solution

The fourth proportional to 2,368.42, 3,551.37 and 828.34 is: 1,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.42 : 3,551.37 = 828.34 : x
  2. Step 2: Convert to fraction form
    2,368.42/3,551.37 = 828.34/x
  3. Step 3: Cross multiply
    2,368.42x = 3,551.37 × 828.34
  4. Step 4: Simplify right side
    2,368.42x = 2,941,741.83
  5. Step 5: Solve for x
    x = 2,941,741.83/2,368.42
  6. Step 6: Final answer
    x = 1,242.07

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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.