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Finding the Fourth Proportional to 1,525.97, 2,105.06 and 1,054.35

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Solution

The fourth proportional to 1,525.97, 2,105.06 and 1,054.35 is: 1,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.97 : 2,105.06 = 1,054.35 : x
  2. Step 2: Convert to fraction form
    1,525.97/2,105.06 = 1,054.35/x
  3. Step 3: Cross multiply
    1,525.97x = 2,105.06 × 1,054.35
  4. Step 4: Simplify right side
    1,525.97x = 2,219,464.74
  5. Step 5: Solve for x
    x = 2,219,464.74/1,525.97
  6. Step 6: Final answer
    x = 1,454.46

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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.