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Finding the Fourth Proportional to 2,904.40, 4,005.71 and 1,783.34

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Solution

The fourth proportional to 2,904.40, 4,005.71 and 1,783.34 is: 2,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.40 : 4,005.71 = 1,783.34 : x
  2. Step 2: Convert to fraction form
    2,904.40/4,005.71 = 1,783.34/x
  3. Step 3: Cross multiply
    2,904.40x = 4,005.71 × 1,783.34
  4. Step 4: Simplify right side
    2,904.40x = 7,143,527.30
  5. Step 5: Solve for x
    x = 7,143,527.30/2,904.40
  6. Step 6: Final answer
    x = 2,459.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.