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Finding the Fourth Proportional to 3,090.42, 4,634.79 and 869.13

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Solution

The fourth proportional to 3,090.42, 4,634.79 and 869.13 is: 1,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.42 : 4,634.79 = 869.13 : x
  2. Step 2: Convert to fraction form
    3,090.42/4,634.79 = 869.13/x
  3. Step 3: Cross multiply
    3,090.42x = 4,634.79 × 869.13
  4. Step 4: Simplify right side
    3,090.42x = 4,028,235.03
  5. Step 5: Solve for x
    x = 4,028,235.03/3,090.42
  6. Step 6: Final answer
    x = 1,303.46

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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.