Home / 2,969.32-4,097.58-1,643.02

Finding the Fourth Proportional to 2,969.32, 4,097.58 and 1,643.02

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Solution

The fourth proportional to 2,969.32, 4,097.58 and 1,643.02 is: 2,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.32 : 4,097.58 = 1,643.02 : x
  2. Step 2: Convert to fraction form
    2,969.32/4,097.58 = 1,643.02/x
  3. Step 3: Cross multiply
    2,969.32x = 4,097.58 × 1,643.02
  4. Step 4: Simplify right side
    2,969.32x = 6,732,405.89
  5. Step 5: Solve for x
    x = 6,732,405.89/2,969.32
  6. Step 6: Final answer
    x = 2,267.32

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Why These Related Problems?

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