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Finding the Fourth Proportional to 2,818.64, 3,889.86 and 1,559.69

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Solution

The fourth proportional to 2,818.64, 3,889.86 and 1,559.69 is: 2,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.64 : 3,889.86 = 1,559.69 : x
  2. Step 2: Convert to fraction form
    2,818.64/3,889.86 = 1,559.69/x
  3. Step 3: Cross multiply
    2,818.64x = 3,889.86 × 1,559.69
  4. Step 4: Simplify right side
    2,818.64x = 6,066,975.74
  5. Step 5: Solve for x
    x = 6,066,975.74/2,818.64
  6. Step 6: Final answer
    x = 2,152.45

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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.