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Finding the Fourth Proportional to 2,083.60, 3,129.72 and 1,653.76

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Solution

The fourth proportional to 2,083.60, 3,129.72 and 1,653.76 is: 2,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.60 : 3,129.72 = 1,653.76 : x
  2. Step 2: Convert to fraction form
    2,083.60/3,129.72 = 1,653.76/x
  3. Step 3: Cross multiply
    2,083.60x = 3,129.72 × 1,653.76
  4. Step 4: Simplify right side
    2,083.60x = 5,175,805.75
  5. Step 5: Solve for x
    x = 5,175,805.75/2,083.60
  6. Step 6: Final answer
    x = 2,484.07

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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.