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Finding the Fourth Proportional to 2,954.98, 4,431.80 and 875.14

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Solution

The fourth proportional to 2,954.98, 4,431.80 and 875.14 is: 1,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.98 : 4,431.80 = 875.14 : x
  2. Step 2: Convert to fraction form
    2,954.98/4,431.80 = 875.14/x
  3. Step 3: Cross multiply
    2,954.98x = 4,431.80 × 875.14
  4. Step 4: Simplify right side
    2,954.98x = 3,878,445.45
  5. Step 5: Solve for x
    x = 3,878,445.45/2,954.98
  6. Step 6: Final answer
    x = 1,312.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.