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Finding the Fourth Proportional to 1,687.85, 2,327.72 and 1,058.46

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Solution

The fourth proportional to 1,687.85, 2,327.72 and 1,058.46 is: 1,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.85 : 2,327.72 = 1,058.46 : x
  2. Step 2: Convert to fraction form
    1,687.85/2,327.72 = 1,058.46/x
  3. Step 3: Cross multiply
    1,687.85x = 2,327.72 × 1,058.46
  4. Step 4: Simplify right side
    1,687.85x = 2,463,798.51
  5. Step 5: Solve for x
    x = 2,463,798.51/1,687.85
  6. Step 6: Final answer
    x = 1,459.73

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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.