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Finding the Fourth Proportional to 2,152.49, 3,226.10 and 918.46

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Solution

The fourth proportional to 2,152.49, 3,226.10 and 918.46 is: 1,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.49 : 3,226.10 = 918.46 : x
  2. Step 2: Convert to fraction form
    2,152.49/3,226.10 = 918.46/x
  3. Step 3: Cross multiply
    2,152.49x = 3,226.10 × 918.46
  4. Step 4: Simplify right side
    2,152.49x = 2,963,043.81
  5. Step 5: Solve for x
    x = 2,963,043.81/2,152.49
  6. Step 6: Final answer
    x = 1,376.57

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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.