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Finding the Fourth Proportional to 2,043, 3,062.06 and 1,423.35

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Solution

The fourth proportional to 2,043, 3,062.06 and 1,423.35 is: 2,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043 : 3,062.06 = 1,423.35 : x
  2. Step 2: Convert to fraction form
    2,043/3,062.06 = 1,423.35/x
  3. Step 3: Cross multiply
    2,043x = 3,062.06 × 1,423.35
  4. Step 4: Simplify right side
    2,043x = 4,358,383.10
  5. Step 5: Solve for x
    x = 4,358,383.10/2,043
  6. Step 6: Final answer
    x = 2,133.33

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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.