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Finding the Fourth Proportional to 2,854.34, 3,938.96 and 1,675.40

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Solution

The fourth proportional to 2,854.34, 3,938.96 and 1,675.40 is: 2,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.34 : 3,938.96 = 1,675.40 : x
  2. Step 2: Convert to fraction form
    2,854.34/3,938.96 = 1,675.40/x
  3. Step 3: Cross multiply
    2,854.34x = 3,938.96 × 1,675.40
  4. Step 4: Simplify right side
    2,854.34x = 6,599,333.58
  5. Step 5: Solve for x
    x = 6,599,333.58/2,854.34
  6. Step 6: Final answer
    x = 2,312.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.