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Finding the Fourth Proportional to 3,007.86, 4,507.46 and 1,706.58

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Solution

The fourth proportional to 3,007.86, 4,507.46 and 1,706.58 is: 2,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.86 : 4,507.46 = 1,706.58 : x
  2. Step 2: Convert to fraction form
    3,007.86/4,507.46 = 1,706.58/x
  3. Step 3: Cross multiply
    3,007.86x = 4,507.46 × 1,706.58
  4. Step 4: Simplify right side
    3,007.86x = 7,692,341.09
  5. Step 5: Solve for x
    x = 7,692,341.09/3,007.86
  6. Step 6: Final answer
    x = 2,557.41

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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.