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Finding the Fourth Proportional to 1,457.34, 2,185.63 and 726.38

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Solution

The fourth proportional to 1,457.34, 2,185.63 and 726.38 is: 1,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.34 : 2,185.63 = 726.38 : x
  2. Step 2: Convert to fraction form
    1,457.34/2,185.63 = 726.38/x
  3. Step 3: Cross multiply
    1,457.34x = 2,185.63 × 726.38
  4. Step 4: Simplify right side
    1,457.34x = 1,587,597.92
  5. Step 5: Solve for x
    x = 1,587,597.92/1,457.34
  6. Step 6: Final answer
    x = 1,089.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.