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Finding the Fourth Proportional to 1,351.14, 1,860.22 and 1,052.02

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Solution

The fourth proportional to 1,351.14, 1,860.22 and 1,052.02 is: 1,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.14 : 1,860.22 = 1,052.02 : x
  2. Step 2: Convert to fraction form
    1,351.14/1,860.22 = 1,052.02/x
  3. Step 3: Cross multiply
    1,351.14x = 1,860.22 × 1,052.02
  4. Step 4: Simplify right side
    1,351.14x = 1,956,988.64
  5. Step 5: Solve for x
    x = 1,956,988.64/1,351.14
  6. Step 6: Final answer
    x = 1,448.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.