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Finding the Fourth Proportional to 2,302.84, 3,454.26 and 1,283.32

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Solution

The fourth proportional to 2,302.84, 3,454.26 and 1,283.32 is: 1,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.84 : 3,454.26 = 1,283.32 : x
  2. Step 2: Convert to fraction form
    2,302.84/3,454.26 = 1,283.32/x
  3. Step 3: Cross multiply
    2,302.84x = 3,454.26 × 1,283.32
  4. Step 4: Simplify right side
    2,302.84x = 4,432,920.94
  5. Step 5: Solve for x
    x = 4,432,920.94/2,302.84
  6. Step 6: Final answer
    x = 1,924.98

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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.