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Finding the Fourth Proportional to 3,106.59, 4,287.17 and 1,780.73

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Solution

The fourth proportional to 3,106.59, 4,287.17 and 1,780.73 is: 2,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.59 : 4,287.17 = 1,780.73 : x
  2. Step 2: Convert to fraction form
    3,106.59/4,287.17 = 1,780.73/x
  3. Step 3: Cross multiply
    3,106.59x = 4,287.17 × 1,780.73
  4. Step 4: Simplify right side
    3,106.59x = 7,634,275.25
  5. Step 5: Solve for x
    x = 7,634,275.25/3,106.59
  6. Step 6: Final answer
    x = 2,457.45

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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.