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Finding the Fourth Proportional to 1,970.14, 2,956.10 and 737.64

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Solution

The fourth proportional to 1,970.14, 2,956.10 and 737.64 is: 1,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.14 : 2,956.10 = 737.64 : x
  2. Step 2: Convert to fraction form
    1,970.14/2,956.10 = 737.64/x
  3. Step 3: Cross multiply
    1,970.14x = 2,956.10 × 737.64
  4. Step 4: Simplify right side
    1,970.14x = 2,180,537.60
  5. Step 5: Solve for x
    x = 2,180,537.60/1,970.14
  6. Step 6: Final answer
    x = 1,106.80

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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.