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Finding the Fourth Proportional to 2,904.20, 4,356.31 and 712.93

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Solution

The fourth proportional to 2,904.20, 4,356.31 and 712.93 is: 1,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.20 : 4,356.31 = 712.93 : x
  2. Step 2: Convert to fraction form
    2,904.20/4,356.31 = 712.93/x
  3. Step 3: Cross multiply
    2,904.20x = 4,356.31 × 712.93
  4. Step 4: Simplify right side
    2,904.20x = 3,105,744.09
  5. Step 5: Solve for x
    x = 3,105,744.09/2,904.20
  6. Step 6: Final answer
    x = 1,069.40

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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.