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Finding the Fourth Proportional to 1,256.48, 1,882.32 and 1,052.36

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Solution

The fourth proportional to 1,256.48, 1,882.32 and 1,052.36 is: 1,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.48 : 1,882.32 = 1,052.36 : x
  2. Step 2: Convert to fraction form
    1,256.48/1,882.32 = 1,052.36/x
  3. Step 3: Cross multiply
    1,256.48x = 1,882.32 × 1,052.36
  4. Step 4: Simplify right side
    1,256.48x = 1,980,878.28
  5. Step 5: Solve for x
    x = 1,980,878.28/1,256.48
  6. Step 6: Final answer
    x = 1,576.53

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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.