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Finding the Fourth Proportional to 2,678.64, 4,016.52 and 947.04

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Solution

The fourth proportional to 2,678.64, 4,016.52 and 947.04 is: 1,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.64 : 4,016.52 = 947.04 : x
  2. Step 2: Convert to fraction form
    2,678.64/4,016.52 = 947.04/x
  3. Step 3: Cross multiply
    2,678.64x = 4,016.52 × 947.04
  4. Step 4: Simplify right side
    2,678.64x = 3,803,805.10
  5. Step 5: Solve for x
    x = 3,803,805.10/2,678.64
  6. Step 6: Final answer
    x = 1,420.05

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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.