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Finding the Fourth Proportional to 1,460.09, 2,189.40 and 638.01

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Solution

The fourth proportional to 1,460.09, 2,189.40 and 638.01 is: 956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.09 : 2,189.40 = 638.01 : x
  2. Step 2: Convert to fraction form
    1,460.09/2,189.40 = 638.01/x
  3. Step 3: Cross multiply
    1,460.09x = 2,189.40 × 638.01
  4. Step 4: Simplify right side
    1,460.09x = 1,396,859.09
  5. Step 5: Solve for x
    x = 1,396,859.09/1,460.09
  6. Step 6: Final answer
    x = 956.70

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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.