Home / 1,645.34-2,271.03-946.94

Finding the Fourth Proportional to 1,645.34, 2,271.03 and 946.94

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Solution

The fourth proportional to 1,645.34, 2,271.03 and 946.94 is: 1,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.34 : 2,271.03 = 946.94 : x
  2. Step 2: Convert to fraction form
    1,645.34/2,271.03 = 946.94/x
  3. Step 3: Cross multiply
    1,645.34x = 2,271.03 × 946.94
  4. Step 4: Simplify right side
    1,645.34x = 2,150,529.15
  5. Step 5: Solve for x
    x = 2,150,529.15/1,645.34
  6. Step 6: Final answer
    x = 1,307.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.