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Finding the Fourth Proportional to 1,368.02, 2,052.23 and 882.02

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Solution

The fourth proportional to 1,368.02, 2,052.23 and 882.02 is: 1,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.02 : 2,052.23 = 882.02 : x
  2. Step 2: Convert to fraction form
    1,368.02/2,052.23 = 882.02/x
  3. Step 3: Cross multiply
    1,368.02x = 2,052.23 × 882.02
  4. Step 4: Simplify right side
    1,368.02x = 1,810,107.90
  5. Step 5: Solve for x
    x = 1,810,107.90/1,368.02
  6. Step 6: Final answer
    x = 1,323.16

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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.