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Finding the Fourth Proportional to 1,709.51, 2,358.68 and 1,046.12

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Solution

The fourth proportional to 1,709.51, 2,358.68 and 1,046.12 is: 1,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.51 : 2,358.68 = 1,046.12 : x
  2. Step 2: Convert to fraction form
    1,709.51/2,358.68 = 1,046.12/x
  3. Step 3: Cross multiply
    1,709.51x = 2,358.68 × 1,046.12
  4. Step 4: Simplify right side
    1,709.51x = 2,467,445.30
  5. Step 5: Solve for x
    x = 2,467,445.30/1,709.51
  6. Step 6: Final answer
    x = 1,443.37

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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.