Home / 2,152.26-2,974.86-1,566.90

Finding the Fourth Proportional to 2,152.26, 2,974.86 and 1,566.90

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Solution

The fourth proportional to 2,152.26, 2,974.86 and 1,566.90 is: 2,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.26 : 2,974.86 = 1,566.90 : x
  2. Step 2: Convert to fraction form
    2,152.26/2,974.86 = 1,566.90/x
  3. Step 3: Cross multiply
    2,152.26x = 2,974.86 × 1,566.90
  4. Step 4: Simplify right side
    2,152.26x = 4,661,308.13
  5. Step 5: Solve for x
    x = 4,661,308.13/2,152.26
  6. Step 6: Final answer
    x = 2,165.77

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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.