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Finding the Fourth Proportional to 1,525.62, 2,105.76 and 1,053.60

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Solution

The fourth proportional to 1,525.62, 2,105.76 and 1,053.60 is: 1,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.62 : 2,105.76 = 1,053.60 : x
  2. Step 2: Convert to fraction form
    1,525.62/2,105.76 = 1,053.60/x
  3. Step 3: Cross multiply
    1,525.62x = 2,105.76 × 1,053.60
  4. Step 4: Simplify right side
    1,525.62x = 2,218,628.74
  5. Step 5: Solve for x
    x = 2,218,628.74/1,525.62
  6. Step 6: Final answer
    x = 1,454.25

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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.