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Finding the Fourth Proportional to 1,243.34, 1,862.58 and 953.36

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Solution

The fourth proportional to 1,243.34, 1,862.58 and 953.36 is: 1,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.34 : 1,862.58 = 953.36 : x
  2. Step 2: Convert to fraction form
    1,243.34/1,862.58 = 953.36/x
  3. Step 3: Cross multiply
    1,243.34x = 1,862.58 × 953.36
  4. Step 4: Simplify right side
    1,243.34x = 1,775,709.27
  5. Step 5: Solve for x
    x = 1,775,709.27/1,243.34
  6. Step 6: Final answer
    x = 1,428.18

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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.