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Finding the Fourth Proportional to 1,206.49, 1,810.65 and 882.69

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Solution

The fourth proportional to 1,206.49, 1,810.65 and 882.69 is: 1,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.49 : 1,810.65 = 882.69 : x
  2. Step 2: Convert to fraction form
    1,206.49/1,810.65 = 882.69/x
  3. Step 3: Cross multiply
    1,206.49x = 1,810.65 × 882.69
  4. Step 4: Simplify right side
    1,206.49x = 1,598,238.24
  5. Step 5: Solve for x
    x = 1,598,238.24/1,206.49
  6. Step 6: Final answer
    x = 1,324.70

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