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Finding the Fourth Proportional to 1,725.36, 2,368.08 and 1,534.56

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Solution

The fourth proportional to 1,725.36, 2,368.08 and 1,534.56 is: 2,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.36 : 2,368.08 = 1,534.56 : x
  2. Step 2: Convert to fraction form
    1,725.36/2,368.08 = 1,534.56/x
  3. Step 3: Cross multiply
    1,725.36x = 2,368.08 × 1,534.56
  4. Step 4: Simplify right side
    1,725.36x = 3,633,960.84
  5. Step 5: Solve for x
    x = 3,633,960.84/1,725.36
  6. Step 6: Final answer
    x = 2,106.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.