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Finding the Fourth Proportional to 1,489.10, 2,055.10 and 825.98

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Solution

The fourth proportional to 1,489.10, 2,055.10 and 825.98 is: 1,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.10 : 2,055.10 = 825.98 : x
  2. Step 2: Convert to fraction form
    1,489.10/2,055.10 = 825.98/x
  3. Step 3: Cross multiply
    1,489.10x = 2,055.10 × 825.98
  4. Step 4: Simplify right side
    1,489.10x = 1,697,471.50
  5. Step 5: Solve for x
    x = 1,697,471.50/1,489.10
  6. Step 6: Final answer
    x = 1,139.93

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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.