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Finding the Fourth Proportional to 2,429.49, 3,643.34 and 869.07

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Solution

The fourth proportional to 2,429.49, 3,643.34 and 869.07 is: 1,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.49 : 3,643.34 = 869.07 : x
  2. Step 2: Convert to fraction form
    2,429.49/3,643.34 = 869.07/x
  3. Step 3: Cross multiply
    2,429.49x = 3,643.34 × 869.07
  4. Step 4: Simplify right side
    2,429.49x = 3,166,319.67
  5. Step 5: Solve for x
    x = 3,166,319.67/2,429.49
  6. Step 6: Final answer
    x = 1,303.29

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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.