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Finding the Fourth Proportional to 1,973.64, 2,721.18 and 1,619.13

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Solution

The fourth proportional to 1,973.64, 2,721.18 and 1,619.13 is: 2,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.64 : 2,721.18 = 1,619.13 : x
  2. Step 2: Convert to fraction form
    1,973.64/2,721.18 = 1,619.13/x
  3. Step 3: Cross multiply
    1,973.64x = 2,721.18 × 1,619.13
  4. Step 4: Simplify right side
    1,973.64x = 4,405,944.17
  5. Step 5: Solve for x
    x = 4,405,944.17/1,973.64
  6. Step 6: Final answer
    x = 2,232.40

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Why These Related Problems?

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