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Finding the Fourth Proportional to 2,429.33, 3,643.07 and 869.05

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Solution

The fourth proportional to 2,429.33, 3,643.07 and 869.05 is: 1,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.33 : 3,643.07 = 869.05 : x
  2. Step 2: Convert to fraction form
    2,429.33/3,643.07 = 869.05/x
  3. Step 3: Cross multiply
    2,429.33x = 3,643.07 × 869.05
  4. Step 4: Simplify right side
    2,429.33x = 3,166,009.98
  5. Step 5: Solve for x
    x = 3,166,009.98/2,429.33
  6. Step 6: Final answer
    x = 1,303.24

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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.