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Finding the Fourth Proportional to 1,256.34, 1,871.97 and 1,200.45

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Solution

The fourth proportional to 1,256.34, 1,871.97 and 1,200.45 is: 1,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.34 : 1,871.97 = 1,200.45 : x
  2. Step 2: Convert to fraction form
    1,256.34/1,871.97 = 1,200.45/x
  3. Step 3: Cross multiply
    1,256.34x = 1,871.97 × 1,200.45
  4. Step 4: Simplify right side
    1,256.34x = 2,247,206.39
  5. Step 5: Solve for x
    x = 2,247,206.39/1,256.34
  6. Step 6: Final answer
    x = 1,788.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.