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Finding the Fourth Proportional to 1,897.49, 2,618.52 and 1,058.18

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Solution

The fourth proportional to 1,897.49, 2,618.52 and 1,058.18 is: 1,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.49 : 2,618.52 = 1,058.18 : x
  2. Step 2: Convert to fraction form
    1,897.49/2,618.52 = 1,058.18/x
  3. Step 3: Cross multiply
    1,897.49x = 2,618.52 × 1,058.18
  4. Step 4: Simplify right side
    1,897.49x = 2,770,865.49
  5. Step 5: Solve for x
    x = 2,770,865.49/1,897.49
  6. Step 6: Final answer
    x = 1,460.28

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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.