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Finding the Fourth Proportional to 1,693.60, 2,538.03 and 1,460.90

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Solution

The fourth proportional to 1,693.60, 2,538.03 and 1,460.90 is: 2,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.60 : 2,538.03 = 1,460.90 : x
  2. Step 2: Convert to fraction form
    1,693.60/2,538.03 = 1,460.90/x
  3. Step 3: Cross multiply
    1,693.60x = 2,538.03 × 1,460.90
  4. Step 4: Simplify right side
    1,693.60x = 3,707,808.03
  5. Step 5: Solve for x
    x = 3,707,808.03/1,693.60
  6. Step 6: Final answer
    x = 2,189.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.