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Finding the Fourth Proportional to 1,739.45, 2,386.14 and 1,645.29

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Solution

The fourth proportional to 1,739.45, 2,386.14 and 1,645.29 is: 2,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.45 : 2,386.14 = 1,645.29 : x
  2. Step 2: Convert to fraction form
    1,739.45/2,386.14 = 1,645.29/x
  3. Step 3: Cross multiply
    1,739.45x = 2,386.14 × 1,645.29
  4. Step 4: Simplify right side
    1,739.45x = 3,925,892.28
  5. Step 5: Solve for x
    x = 3,925,892.28/1,739.45
  6. Step 6: Final answer
    x = 2,256.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.