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Finding the Fourth Proportional to 1,525.60, 2,105.20 and 887.66

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Solution

The fourth proportional to 1,525.60, 2,105.20 and 887.66 is: 1,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.60 : 2,105.20 = 887.66 : x
  2. Step 2: Convert to fraction form
    1,525.60/2,105.20 = 887.66/x
  3. Step 3: Cross multiply
    1,525.60x = 2,105.20 × 887.66
  4. Step 4: Simplify right side
    1,525.60x = 1,868,707.48
  5. Step 5: Solve for x
    x = 1,868,707.48/1,525.60
  6. Step 6: Final answer
    x = 1,224.90

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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.