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Finding the Fourth Proportional to 1,525.02, 2,104.55 and 826.41

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Solution

The fourth proportional to 1,525.02, 2,104.55 and 826.41 is: 1,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.02 : 2,104.55 = 826.41 : x
  2. Step 2: Convert to fraction form
    1,525.02/2,104.55 = 826.41/x
  3. Step 3: Cross multiply
    1,525.02x = 2,104.55 × 826.41
  4. Step 4: Simplify right side
    1,525.02x = 1,739,217.03
  5. Step 5: Solve for x
    x = 1,739,217.03/1,525.02
  6. Step 6: Final answer
    x = 1,140.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.