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Finding the Fourth Proportional to 1,609.35, 2,410.38 and 1,260.51

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Solution

The fourth proportional to 1,609.35, 2,410.38 and 1,260.51 is: 1,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.35 : 2,410.38 = 1,260.51 : x
  2. Step 2: Convert to fraction form
    1,609.35/2,410.38 = 1,260.51/x
  3. Step 3: Cross multiply
    1,609.35x = 2,410.38 × 1,260.51
  4. Step 4: Simplify right side
    1,609.35x = 3,038,308.09
  5. Step 5: Solve for x
    x = 3,038,308.09/1,609.35
  6. Step 6: Final answer
    x = 1,887.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.