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Finding the Fourth Proportional to 1,523.51, 2,102.48 and 894.53

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Solution

The fourth proportional to 1,523.51, 2,102.48 and 894.53 is: 1,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.51 : 2,102.48 = 894.53 : x
  2. Step 2: Convert to fraction form
    1,523.51/2,102.48 = 894.53/x
  3. Step 3: Cross multiply
    1,523.51x = 2,102.48 × 894.53
  4. Step 4: Simplify right side
    1,523.51x = 1,880,716.45
  5. Step 5: Solve for x
    x = 1,880,716.45/1,523.51
  6. Step 6: Final answer
    x = 1,234.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.