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Finding the Fourth Proportional to 2,678.68, 4,018.86 and 947.32

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Solution

The fourth proportional to 2,678.68, 4,018.86 and 947.32 is: 1,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.68 : 4,018.86 = 947.32 : x
  2. Step 2: Convert to fraction form
    2,678.68/4,018.86 = 947.32/x
  3. Step 3: Cross multiply
    2,678.68x = 4,018.86 × 947.32
  4. Step 4: Simplify right side
    2,678.68x = 3,807,146.46
  5. Step 5: Solve for x
    x = 3,807,146.46/2,678.68
  6. Step 6: Final answer
    x = 1,421.28

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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.