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Finding the Fourth Proportional to 3,119.24, 4,678.93 and 927.98

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Solution

The fourth proportional to 3,119.24, 4,678.93 and 927.98 is: 1,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.24 : 4,678.93 = 927.98 : x
  2. Step 2: Convert to fraction form
    3,119.24/4,678.93 = 927.98/x
  3. Step 3: Cross multiply
    3,119.24x = 4,678.93 × 927.98
  4. Step 4: Simplify right side
    3,119.24x = 4,341,966.32
  5. Step 5: Solve for x
    x = 4,341,966.32/3,119.24
  6. Step 6: Final answer
    x = 1,392.00

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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.