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Finding the Fourth Proportional to 3,119.32, 4,678.91 and 928.07

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Solution

The fourth proportional to 3,119.32, 4,678.91 and 928.07 is: 1,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.32 : 4,678.91 = 928.07 : x
  2. Step 2: Convert to fraction form
    3,119.32/4,678.91 = 928.07/x
  3. Step 3: Cross multiply
    3,119.32x = 4,678.91 × 928.07
  4. Step 4: Simplify right side
    3,119.32x = 4,342,356.00
  5. Step 5: Solve for x
    x = 4,342,356.00/3,119.32
  6. Step 6: Final answer
    x = 1,392.08

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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.