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Finding the Fourth Proportional to 2,245.66, 3,095.80 and 1,580.45

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Solution

The fourth proportional to 2,245.66, 3,095.80 and 1,580.45 is: 2,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.66 : 3,095.80 = 1,580.45 : x
  2. Step 2: Convert to fraction form
    2,245.66/3,095.80 = 1,580.45/x
  3. Step 3: Cross multiply
    2,245.66x = 3,095.80 × 1,580.45
  4. Step 4: Simplify right side
    2,245.66x = 4,892,737.68
  5. Step 5: Solve for x
    x = 4,892,737.68/2,245.66
  6. Step 6: Final answer
    x = 2,178.76

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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.