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Finding the Fourth Proportional to 2,083.35, 3,129.35 and 1,653.51

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Solution

The fourth proportional to 2,083.35, 3,129.35 and 1,653.51 is: 2,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.35 : 3,129.35 = 1,653.51 : x
  2. Step 2: Convert to fraction form
    2,083.35/3,129.35 = 1,653.51/x
  3. Step 3: Cross multiply
    2,083.35x = 3,129.35 × 1,653.51
  4. Step 4: Simplify right side
    2,083.35x = 5,174,403.25
  5. Step 5: Solve for x
    x = 5,174,403.25/2,083.35
  6. Step 6: Final answer
    x = 2,483.69

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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.