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Finding the Fourth Proportional to 2,904.38, 4,356.53 and 713.13

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Solution

The fourth proportional to 2,904.38, 4,356.53 and 713.13 is: 1,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.38 : 4,356.53 = 713.13 : x
  2. Step 2: Convert to fraction form
    2,904.38/4,356.53 = 713.13/x
  3. Step 3: Cross multiply
    2,904.38x = 4,356.53 × 713.13
  4. Step 4: Simplify right side
    2,904.38x = 3,106,771.27
  5. Step 5: Solve for x
    x = 3,106,771.27/2,904.38
  6. Step 6: Final answer
    x = 1,069.68

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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.