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Finding the Fourth Proportional to 1,725.84, 2,381.76 and 1,053.44

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Solution

The fourth proportional to 1,725.84, 2,381.76 and 1,053.44 is: 1,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.84 : 2,381.76 = 1,053.44 : x
  2. Step 2: Convert to fraction form
    1,725.84/2,381.76 = 1,053.44/x
  3. Step 3: Cross multiply
    1,725.84x = 2,381.76 × 1,053.44
  4. Step 4: Simplify right side
    1,725.84x = 2,509,041.25
  5. Step 5: Solve for x
    x = 2,509,041.25/1,725.84
  6. Step 6: Final answer
    x = 1,453.81

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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.