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Finding the Fourth Proportional to 1,970.58, 2,956.28 and 737.69

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Solution

The fourth proportional to 1,970.58, 2,956.28 and 737.69 is: 1,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.58 : 2,956.28 = 737.69 : x
  2. Step 2: Convert to fraction form
    1,970.58/2,956.28 = 737.69/x
  3. Step 3: Cross multiply
    1,970.58x = 2,956.28 × 737.69
  4. Step 4: Simplify right side
    1,970.58x = 2,180,818.19
  5. Step 5: Solve for x
    x = 2,180,818.19/1,970.58
  6. Step 6: Final answer
    x = 1,106.69

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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.