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Finding the Fourth Proportional to 1,407.58, 1,940.89 and 1,151.27

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Solution

The fourth proportional to 1,407.58, 1,940.89 and 1,151.27 is: 1,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.58 : 1,940.89 = 1,151.27 : x
  2. Step 2: Convert to fraction form
    1,407.58/1,940.89 = 1,151.27/x
  3. Step 3: Cross multiply
    1,407.58x = 1,940.89 × 1,151.27
  4. Step 4: Simplify right side
    1,407.58x = 2,234,483.41
  5. Step 5: Solve for x
    x = 2,234,483.41/1,407.58
  6. Step 6: Final answer
    x = 1,587.47

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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.