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Finding the Fourth Proportional to 1,429.89, 2,133.14 and 1,390.20

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Solution

The fourth proportional to 1,429.89, 2,133.14 and 1,390.20 is: 2,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.89 : 2,133.14 = 1,390.20 : x
  2. Step 2: Convert to fraction form
    1,429.89/2,133.14 = 1,390.20/x
  3. Step 3: Cross multiply
    1,429.89x = 2,133.14 × 1,390.20
  4. Step 4: Simplify right side
    1,429.89x = 2,965,491.23
  5. Step 5: Solve for x
    x = 2,965,491.23/1,429.89
  6. Step 6: Final answer
    x = 2,073.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.