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Finding the Fourth Proportional to 1,907.78, 2,862.63 and 882.50

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Solution

The fourth proportional to 1,907.78, 2,862.63 and 882.50 is: 1,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.78 : 2,862.63 = 882.50 : x
  2. Step 2: Convert to fraction form
    1,907.78/2,862.63 = 882.50/x
  3. Step 3: Cross multiply
    1,907.78x = 2,862.63 × 882.50
  4. Step 4: Simplify right side
    1,907.78x = 2,526,270.98
  5. Step 5: Solve for x
    x = 2,526,270.98/1,907.78
  6. Step 6: Final answer
    x = 1,324.19

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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.