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Finding the Fourth Proportional to 2,731.90, 4,097.58 and 882.50

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Solution

The fourth proportional to 2,731.90, 4,097.58 and 882.50 is: 1,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.90 : 4,097.58 = 882.50 : x
  2. Step 2: Convert to fraction form
    2,731.90/4,097.58 = 882.50/x
  3. Step 3: Cross multiply
    2,731.90x = 4,097.58 × 882.50
  4. Step 4: Simplify right side
    2,731.90x = 3,616,114.35
  5. Step 5: Solve for x
    x = 3,616,114.35/2,731.90
  6. Step 6: Final answer
    x = 1,323.66

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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.