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Finding the Fourth Proportional to 1,759.12, 2,427.62 and 973.24

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Solution

The fourth proportional to 1,759.12, 2,427.62 and 973.24 is: 1,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.12 : 2,427.62 = 973.24 : x
  2. Step 2: Convert to fraction form
    1,759.12/2,427.62 = 973.24/x
  3. Step 3: Cross multiply
    1,759.12x = 2,427.62 × 973.24
  4. Step 4: Simplify right side
    1,759.12x = 2,362,656.89
  5. Step 5: Solve for x
    x = 2,362,656.89/1,759.12
  6. Step 6: Final answer
    x = 1,343.09

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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.