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Finding the Fourth Proportional to 1,375.32, 2,050.71 and 1,222.68

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Solution

The fourth proportional to 1,375.32, 2,050.71 and 1,222.68 is: 1,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.32 : 2,050.71 = 1,222.68 : x
  2. Step 2: Convert to fraction form
    1,375.32/2,050.71 = 1,222.68/x
  3. Step 3: Cross multiply
    1,375.32x = 2,050.71 × 1,222.68
  4. Step 4: Simplify right side
    1,375.32x = 2,507,362.10
  5. Step 5: Solve for x
    x = 2,507,362.10/1,375.32
  6. Step 6: Final answer
    x = 1,823.11

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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.