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Finding the Fourth Proportional to 2,016.72, 2,780.08 and 1,417.32

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Solution

The fourth proportional to 2,016.72, 2,780.08 and 1,417.32 is: 1,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.72 : 2,780.08 = 1,417.32 : x
  2. Step 2: Convert to fraction form
    2,016.72/2,780.08 = 1,417.32/x
  3. Step 3: Cross multiply
    2,016.72x = 2,780.08 × 1,417.32
  4. Step 4: Simplify right side
    2,016.72x = 3,940,262.99
  5. Step 5: Solve for x
    x = 3,940,262.99/2,016.72
  6. Step 6: Final answer
    x = 1,953.80

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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.