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Finding the Fourth Proportional to 2,952.87, 4,429.41 and 1,564.33

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Solution

The fourth proportional to 2,952.87, 4,429.41 and 1,564.33 is: 2,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.87 : 4,429.41 = 1,564.33 : x
  2. Step 2: Convert to fraction form
    2,952.87/4,429.41 = 1,564.33/x
  3. Step 3: Cross multiply
    2,952.87x = 4,429.41 × 1,564.33
  4. Step 4: Simplify right side
    2,952.87x = 6,929,051.45
  5. Step 5: Solve for x
    x = 6,929,051.45/2,952.87
  6. Step 6: Final answer
    x = 2,346.55

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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.