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Finding the Fourth Proportional to 2,903.84, 4,355.82 and 955.80

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Solution

The fourth proportional to 2,903.84, 4,355.82 and 955.80 is: 1,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.84 : 4,355.82 = 955.80 : x
  2. Step 2: Convert to fraction form
    2,903.84/4,355.82 = 955.80/x
  3. Step 3: Cross multiply
    2,903.84x = 4,355.82 × 955.80
  4. Step 4: Simplify right side
    2,903.84x = 4,163,292.76
  5. Step 5: Solve for x
    x = 4,163,292.76/2,903.84
  6. Step 6: Final answer
    x = 1,433.72

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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.