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Finding the Fourth Proportional to 1,595.76, 2,199.84 and 1,056.49

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Solution

The fourth proportional to 1,595.76, 2,199.84 and 1,056.49 is: 1,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.76 : 2,199.84 = 1,056.49 : x
  2. Step 2: Convert to fraction form
    1,595.76/2,199.84 = 1,056.49/x
  3. Step 3: Cross multiply
    1,595.76x = 2,199.84 × 1,056.49
  4. Step 4: Simplify right side
    1,595.76x = 2,324,115.84
  5. Step 5: Solve for x
    x = 2,324,115.84/1,595.76
  6. Step 6: Final answer
    x = 1,456.43

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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.