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Finding the Fourth Proportional to 1,725.56, 2,381.34 and 1,477.88

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Solution

The fourth proportional to 1,725.56, 2,381.34 and 1,477.88 is: 2,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.56 : 2,381.34 = 1,477.88 : x
  2. Step 2: Convert to fraction form
    1,725.56/2,381.34 = 1,477.88/x
  3. Step 3: Cross multiply
    1,725.56x = 2,381.34 × 1,477.88
  4. Step 4: Simplify right side
    1,725.56x = 3,519,334.76
  5. Step 5: Solve for x
    x = 3,519,334.76/1,725.56
  6. Step 6: Final answer
    x = 2,039.53

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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.