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Finding the Fourth Proportional to 1,973.65, 2,960.47 and 933.76

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Solution

The fourth proportional to 1,973.65, 2,960.47 and 933.76 is: 1,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.65 : 2,960.47 = 933.76 : x
  2. Step 2: Convert to fraction form
    1,973.65/2,960.47 = 933.76/x
  3. Step 3: Cross multiply
    1,973.65x = 2,960.47 × 933.76
  4. Step 4: Simplify right side
    1,973.65x = 2,764,363.80
  5. Step 5: Solve for x
    x = 2,764,363.80/1,973.65
  6. Step 6: Final answer
    x = 1,400.64

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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.