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Finding the Fourth Proportional to 2,774.16, 4,159.18 and 1,678.28

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Solution

The fourth proportional to 2,774.16, 4,159.18 and 1,678.28 is: 2,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.16 : 4,159.18 = 1,678.28 : x
  2. Step 2: Convert to fraction form
    2,774.16/4,159.18 = 1,678.28/x
  3. Step 3: Cross multiply
    2,774.16x = 4,159.18 × 1,678.28
  4. Step 4: Simplify right side
    2,774.16x = 6,980,243.62
  5. Step 5: Solve for x
    x = 6,980,243.62/2,774.16
  6. Step 6: Final answer
    x = 2,516.16

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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.