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Finding the Fourth Proportional to 1,392.42, 1,918.90 and 1,019.52

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Solution

The fourth proportional to 1,392.42, 1,918.90 and 1,019.52 is: 1,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.42 : 1,918.90 = 1,019.52 : x
  2. Step 2: Convert to fraction form
    1,392.42/1,918.90 = 1,019.52/x
  3. Step 3: Cross multiply
    1,392.42x = 1,918.90 × 1,019.52
  4. Step 4: Simplify right side
    1,392.42x = 1,956,356.93
  5. Step 5: Solve for x
    x = 1,956,356.93/1,392.42
  6. Step 6: Final answer
    x = 1,405.00

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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.