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Finding the Fourth Proportional to 2,974.84, 4,461.72 and 783.43

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Solution

The fourth proportional to 2,974.84, 4,461.72 and 783.43 is: 1,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.84 : 4,461.72 = 783.43 : x
  2. Step 2: Convert to fraction form
    2,974.84/4,461.72 = 783.43/x
  3. Step 3: Cross multiply
    2,974.84x = 4,461.72 × 783.43
  4. Step 4: Simplify right side
    2,974.84x = 3,495,445.30
  5. Step 5: Solve for x
    x = 3,495,445.30/2,974.84
  6. Step 6: Final answer
    x = 1,175.00

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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.