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Finding the Fourth Proportional to 1,858.68, 2,786.04 and 882.72

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Solution

The fourth proportional to 1,858.68, 2,786.04 and 882.72 is: 1,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.68 : 2,786.04 = 882.72 : x
  2. Step 2: Convert to fraction form
    1,858.68/2,786.04 = 882.72/x
  3. Step 3: Cross multiply
    1,858.68x = 2,786.04 × 882.72
  4. Step 4: Simplify right side
    1,858.68x = 2,459,293.23
  5. Step 5: Solve for x
    x = 2,459,293.23/1,858.68
  6. Step 6: Final answer
    x = 1,323.14

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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.