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Finding the Fourth Proportional to 1,525.36, 2,105.04 and 895.84

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Solution

The fourth proportional to 1,525.36, 2,105.04 and 895.84 is: 1,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.36 : 2,105.04 = 895.84 : x
  2. Step 2: Convert to fraction form
    1,525.36/2,105.04 = 895.84/x
  3. Step 3: Cross multiply
    1,525.36x = 2,105.04 × 895.84
  4. Step 4: Simplify right side
    1,525.36x = 1,885,779.03
  5. Step 5: Solve for x
    x = 1,885,779.03/1,525.36
  6. Step 6: Final answer
    x = 1,236.28

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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.