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Finding the Fourth Proportional to 1,424.28, 1,952.20 and 1,418.06

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Solution

The fourth proportional to 1,424.28, 1,952.20 and 1,418.06 is: 1,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.28 : 1,952.20 = 1,418.06 : x
  2. Step 2: Convert to fraction form
    1,424.28/1,952.20 = 1,418.06/x
  3. Step 3: Cross multiply
    1,424.28x = 1,952.20 × 1,418.06
  4. Step 4: Simplify right side
    1,424.28x = 2,768,332.40
  5. Step 5: Solve for x
    x = 2,768,332.40/1,424.28
  6. Step 6: Final answer
    x = 1,943.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.