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Finding the Fourth Proportional to 1,688.03, 2,327.96 and 1,058.63

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Solution

The fourth proportional to 1,688.03, 2,327.96 and 1,058.63 is: 1,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.03 : 2,327.96 = 1,058.63 : x
  2. Step 2: Convert to fraction form
    1,688.03/2,327.96 = 1,058.63/x
  3. Step 3: Cross multiply
    1,688.03x = 2,327.96 × 1,058.63
  4. Step 4: Simplify right side
    1,688.03x = 2,464,431.36
  5. Step 5: Solve for x
    x = 2,464,431.36/1,688.03
  6. Step 6: Final answer
    x = 1,459.95

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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.