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Finding the Fourth Proportional to 1,433.40, 2,146.23 and 910.56

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Solution

The fourth proportional to 1,433.40, 2,146.23 and 910.56 is: 1,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.40 : 2,146.23 = 910.56 : x
  2. Step 2: Convert to fraction form
    1,433.40/2,146.23 = 910.56/x
  3. Step 3: Cross multiply
    1,433.40x = 2,146.23 × 910.56
  4. Step 4: Simplify right side
    1,433.40x = 1,954,271.19
  5. Step 5: Solve for x
    x = 1,954,271.19/1,433.40
  6. Step 6: Final answer
    x = 1,363.38

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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.