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Finding the Fourth Proportional to 2,011.56, 2,780.60 and 1,678.04

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Solution

The fourth proportional to 2,011.56, 2,780.60 and 1,678.04 is: 2,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.56 : 2,780.60 = 1,678.04 : x
  2. Step 2: Convert to fraction form
    2,011.56/2,780.60 = 1,678.04/x
  3. Step 3: Cross multiply
    2,011.56x = 2,780.60 × 1,678.04
  4. Step 4: Simplify right side
    2,011.56x = 4,665,946.16
  5. Step 5: Solve for x
    x = 4,665,946.16/2,011.56
  6. Step 6: Final answer
    x = 2,319.57

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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.