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Finding the Fourth Proportional to 1,410.39, 2,097.14 and 1,352.07

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Solution

The fourth proportional to 1,410.39, 2,097.14 and 1,352.07 is: 2,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.39 : 2,097.14 = 1,352.07 : x
  2. Step 2: Convert to fraction form
    1,410.39/2,097.14 = 1,352.07/x
  3. Step 3: Cross multiply
    1,410.39x = 2,097.14 × 1,352.07
  4. Step 4: Simplify right side
    1,410.39x = 2,835,473.32
  5. Step 5: Solve for x
    x = 2,835,473.32/1,410.39
  6. Step 6: Final answer
    x = 2,010.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.