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Finding the Fourth Proportional to 1,955.04, 2,698.32 and 1,639.92

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Solution

The fourth proportional to 1,955.04, 2,698.32 and 1,639.92 is: 2,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.04 : 2,698.32 = 1,639.92 : x
  2. Step 2: Convert to fraction form
    1,955.04/2,698.32 = 1,639.92/x
  3. Step 3: Cross multiply
    1,955.04x = 2,698.32 × 1,639.92
  4. Step 4: Simplify right side
    1,955.04x = 4,425,028.93
  5. Step 5: Solve for x
    x = 4,425,028.93/1,955.04
  6. Step 6: Final answer
    x = 2,263.40

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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.