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Finding the Fourth Proportional to 2,058.51, 2,840.72 and 1,114.28

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Solution

The fourth proportional to 2,058.51, 2,840.72 and 1,114.28 is: 1,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.51 : 2,840.72 = 1,114.28 : x
  2. Step 2: Convert to fraction form
    2,058.51/2,840.72 = 1,114.28/x
  3. Step 3: Cross multiply
    2,058.51x = 2,840.72 × 1,114.28
  4. Step 4: Simplify right side
    2,058.51x = 3,165,357.48
  5. Step 5: Solve for x
    x = 3,165,357.48/2,058.51
  6. Step 6: Final answer
    x = 1,537.70

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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.