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Finding the Fourth Proportional to 2,952.54, 4,435.30 and 1,783.23

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Solution

The fourth proportional to 2,952.54, 4,435.30 and 1,783.23 is: 2,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.54 : 4,435.30 = 1,783.23 : x
  2. Step 2: Convert to fraction form
    2,952.54/4,435.30 = 1,783.23/x
  3. Step 3: Cross multiply
    2,952.54x = 4,435.30 × 1,783.23
  4. Step 4: Simplify right side
    2,952.54x = 7,909,166.65
  5. Step 5: Solve for x
    x = 7,909,166.65/2,952.54
  6. Step 6: Final answer
    x = 2,678.77

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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.