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Finding the Fourth Proportional to 1,350.14, 1,858.84 and 1,051.02

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Solution

The fourth proportional to 1,350.14, 1,858.84 and 1,051.02 is: 1,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.14 : 1,858.84 = 1,051.02 : x
  2. Step 2: Convert to fraction form
    1,350.14/1,858.84 = 1,051.02/x
  3. Step 3: Cross multiply
    1,350.14x = 1,858.84 × 1,051.02
  4. Step 4: Simplify right side
    1,350.14x = 1,953,678.02
  5. Step 5: Solve for x
    x = 1,953,678.02/1,350.14
  6. Step 6: Final answer
    x = 1,447.02

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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.