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Finding the Fourth Proportional to 2,715.76, 4,067.60 and 1,780.08

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Solution

The fourth proportional to 2,715.76, 4,067.60 and 1,780.08 is: 2,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.76 : 4,067.60 = 1,780.08 : x
  2. Step 2: Convert to fraction form
    2,715.76/4,067.60 = 1,780.08/x
  3. Step 3: Cross multiply
    2,715.76x = 4,067.60 × 1,780.08
  4. Step 4: Simplify right side
    2,715.76x = 7,240,653.41
  5. Step 5: Solve for x
    x = 7,240,653.41/2,715.76
  6. Step 6: Final answer
    x = 2,666.16

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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.