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Finding the Fourth Proportional to 2,468.95, 3,703.89 and 909.36

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Solution

The fourth proportional to 2,468.95, 3,703.89 and 909.36 is: 1,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.95 : 3,703.89 = 909.36 : x
  2. Step 2: Convert to fraction form
    2,468.95/3,703.89 = 909.36/x
  3. Step 3: Cross multiply
    2,468.95x = 3,703.89 × 909.36
  4. Step 4: Simplify right side
    2,468.95x = 3,368,172.82
  5. Step 5: Solve for x
    x = 3,368,172.82/2,468.95
  6. Step 6: Final answer
    x = 1,364.21

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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.