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Finding the Fourth Proportional to 1,725.16, 2,573 and 1,466.86

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Solution

The fourth proportional to 1,725.16, 2,573 and 1,466.86 is: 2,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.16 : 2,573 = 1,466.86 : x
  2. Step 2: Convert to fraction form
    1,725.16/2,573 = 1,466.86/x
  3. Step 3: Cross multiply
    1,725.16x = 2,573 × 1,466.86
  4. Step 4: Simplify right side
    1,725.16x = 3,774,230.78
  5. Step 5: Solve for x
    x = 3,774,230.78/1,725.16
  6. Step 6: Final answer
    x = 2,187.76

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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.