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Finding the Fourth Proportional to 1,886.34, 2,603.16 and 1,058.34

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Solution

The fourth proportional to 1,886.34, 2,603.16 and 1,058.34 is: 1,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.34 : 2,603.16 = 1,058.34 : x
  2. Step 2: Convert to fraction form
    1,886.34/2,603.16 = 1,058.34/x
  3. Step 3: Cross multiply
    1,886.34x = 2,603.16 × 1,058.34
  4. Step 4: Simplify right side
    1,886.34x = 2,755,028.35
  5. Step 5: Solve for x
    x = 2,755,028.35/1,886.34
  6. Step 6: Final answer
    x = 1,460.52

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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.