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Finding the Fourth Proportional to 1,973.64, 2,956.80 and 997.40

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Solution

The fourth proportional to 1,973.64, 2,956.80 and 997.40 is: 1,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.64 : 2,956.80 = 997.40 : x
  2. Step 2: Convert to fraction form
    1,973.64/2,956.80 = 997.40/x
  3. Step 3: Cross multiply
    1,973.64x = 2,956.80 × 997.40
  4. Step 4: Simplify right side
    1,973.64x = 2,949,112.32
  5. Step 5: Solve for x
    x = 2,949,112.32/1,973.64
  6. Step 6: Final answer
    x = 1,494.25

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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.