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Finding the Fourth Proportional to 1,597.73, 2,199.65 and 1,261.01

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Solution

The fourth proportional to 1,597.73, 2,199.65 and 1,261.01 is: 1,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.73 : 2,199.65 = 1,261.01 : x
  2. Step 2: Convert to fraction form
    1,597.73/2,199.65 = 1,261.01/x
  3. Step 3: Cross multiply
    1,597.73x = 2,199.65 × 1,261.01
  4. Step 4: Simplify right side
    1,597.73x = 2,773,779.84
  5. Step 5: Solve for x
    x = 2,773,779.84/1,597.73
  6. Step 6: Final answer
    x = 1,736.08

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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.