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Finding the Fourth Proportional to 1,524.07, 2,103.06 and 860.95

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Solution

The fourth proportional to 1,524.07, 2,103.06 and 860.95 is: 1,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.07 : 2,103.06 = 860.95 : x
  2. Step 2: Convert to fraction form
    1,524.07/2,103.06 = 860.95/x
  3. Step 3: Cross multiply
    1,524.07x = 2,103.06 × 860.95
  4. Step 4: Simplify right side
    1,524.07x = 1,810,629.51
  5. Step 5: Solve for x
    x = 1,810,629.51/1,524.07
  6. Step 6: Final answer
    x = 1,188.02

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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.