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Finding the Fourth Proportional to 1,973.20, 2,957.76 and 739.74

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Solution

The fourth proportional to 1,973.20, 2,957.76 and 739.74 is: 1,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.20 : 2,957.76 = 739.74 : x
  2. Step 2: Convert to fraction form
    1,973.20/2,957.76 = 739.74/x
  3. Step 3: Cross multiply
    1,973.20x = 2,957.76 × 739.74
  4. Step 4: Simplify right side
    1,973.20x = 2,187,973.38
  5. Step 5: Solve for x
    x = 2,187,973.38/1,973.20
  6. Step 6: Final answer
    x = 1,108.85

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1.5x scale

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.