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Finding the Fourth Proportional to 1,257.42, 1,730.16 and 1,225.23

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Solution

The fourth proportional to 1,257.42, 1,730.16 and 1,225.23 is: 1,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.42 : 1,730.16 = 1,225.23 : x
  2. Step 2: Convert to fraction form
    1,257.42/1,730.16 = 1,225.23/x
  3. Step 3: Cross multiply
    1,257.42x = 1,730.16 × 1,225.23
  4. Step 4: Simplify right side
    1,257.42x = 2,119,837.45
  5. Step 5: Solve for x
    x = 2,119,837.45/1,257.42
  6. Step 6: Final answer
    x = 1,685.86

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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.