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Finding the Fourth Proportional to 1,397.54, 1,926.63 and 956.49

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Solution

The fourth proportional to 1,397.54, 1,926.63 and 956.49 is: 1,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.54 : 1,926.63 = 956.49 : x
  2. Step 2: Convert to fraction form
    1,397.54/1,926.63 = 956.49/x
  3. Step 3: Cross multiply
    1,397.54x = 1,926.63 × 956.49
  4. Step 4: Simplify right side
    1,397.54x = 1,842,802.33
  5. Step 5: Solve for x
    x = 1,842,802.33/1,397.54
  6. Step 6: Final answer
    x = 1,318.61

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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.