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Finding the Fourth Proportional to 1,407.39, 2,111.06 and 367.42

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Solution

The fourth proportional to 1,407.39, 2,111.06 and 367.42 is: 551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.39 : 2,111.06 = 367.42 : x
  2. Step 2: Convert to fraction form
    1,407.39/2,111.06 = 367.42/x
  3. Step 3: Cross multiply
    1,407.39x = 2,111.06 × 367.42
  4. Step 4: Simplify right side
    1,407.39x = 775,654.17
  5. Step 5: Solve for x
    x = 775,654.17/1,407.39
  6. Step 6: Final answer
    x = 551.13

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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.