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Finding the Fourth Proportional to 2,883.81, 4,322.28 and 1,652.07

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Solution

The fourth proportional to 2,883.81, 4,322.28 and 1,652.07 is: 2,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.81 : 4,322.28 = 1,652.07 : x
  2. Step 2: Convert to fraction form
    2,883.81/4,322.28 = 1,652.07/x
  3. Step 3: Cross multiply
    2,883.81x = 4,322.28 × 1,652.07
  4. Step 4: Simplify right side
    2,883.81x = 7,140,709.12
  5. Step 5: Solve for x
    x = 7,140,709.12/2,883.81
  6. Step 6: Final answer
    x = 2,476.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.