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Finding the Fourth Proportional to 1,852.94, 2,558.97 and 1,603.06

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Solution

The fourth proportional to 1,852.94, 2,558.97 and 1,603.06 is: 2,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.94 : 2,558.97 = 1,603.06 : x
  2. Step 2: Convert to fraction form
    1,852.94/2,558.97 = 1,603.06/x
  3. Step 3: Cross multiply
    1,852.94x = 2,558.97 × 1,603.06
  4. Step 4: Simplify right side
    1,852.94x = 4,102,182.45
  5. Step 5: Solve for x
    x = 4,102,182.45/1,852.94
  6. Step 6: Final answer
    x = 2,213.88

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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.