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Finding the Fourth Proportional to 1,898.25, 2,619.57 and 1,058.97

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Solution

The fourth proportional to 1,898.25, 2,619.57 and 1,058.97 is: 1,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.25 : 2,619.57 = 1,058.97 : x
  2. Step 2: Convert to fraction form
    1,898.25/2,619.57 = 1,058.97/x
  3. Step 3: Cross multiply
    1,898.25x = 2,619.57 × 1,058.97
  4. Step 4: Simplify right side
    1,898.25x = 2,774,059.84
  5. Step 5: Solve for x
    x = 2,774,059.84/1,898.25
  6. Step 6: Final answer
    x = 1,461.38

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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.