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Finding the Fourth Proportional to 1,731.35, 2,597.78 and 909.42

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Solution

The fourth proportional to 1,731.35, 2,597.78 and 909.42 is: 1,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.35 : 2,597.78 = 909.42 : x
  2. Step 2: Convert to fraction form
    1,731.35/2,597.78 = 909.42/x
  3. Step 3: Cross multiply
    1,731.35x = 2,597.78 × 909.42
  4. Step 4: Simplify right side
    1,731.35x = 2,362,468.54
  5. Step 5: Solve for x
    x = 2,362,468.54/1,731.35
  6. Step 6: Final answer
    x = 1,364.53

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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.