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Finding the Fourth Proportional to 1,429.07, 2,143.73 and 389.14

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Solution

The fourth proportional to 1,429.07, 2,143.73 and 389.14 is: 583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.07 : 2,143.73 = 389.14 : x
  2. Step 2: Convert to fraction form
    1,429.07/2,143.73 = 389.14/x
  3. Step 3: Cross multiply
    1,429.07x = 2,143.73 × 389.14
  4. Step 4: Simplify right side
    1,429.07x = 834,206.71
  5. Step 5: Solve for x
    x = 834,206.71/1,429.07
  6. Step 6: Final answer
    x = 583.74

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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.