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Finding the Fourth Proportional to 1,398.86, 1,925.84 and 1,211.75

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Solution

The fourth proportional to 1,398.86, 1,925.84 and 1,211.75 is: 1,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.86 : 1,925.84 = 1,211.75 : x
  2. Step 2: Convert to fraction form
    1,398.86/1,925.84 = 1,211.75/x
  3. Step 3: Cross multiply
    1,398.86x = 1,925.84 × 1,211.75
  4. Step 4: Simplify right side
    1,398.86x = 2,333,636.62
  5. Step 5: Solve for x
    x = 2,333,636.62/1,398.86
  6. Step 6: Final answer
    x = 1,668.24

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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.