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Finding the Fourth Proportional to 1,972.94, 2,959.45 and 933.42

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Solution

The fourth proportional to 1,972.94, 2,959.45 and 933.42 is: 1,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.94 : 2,959.45 = 933.42 : x
  2. Step 2: Convert to fraction form
    1,972.94/2,959.45 = 933.42/x
  3. Step 3: Cross multiply
    1,972.94x = 2,959.45 × 933.42
  4. Step 4: Simplify right side
    1,972.94x = 2,762,423.83
  5. Step 5: Solve for x
    x = 2,762,423.83/1,972.94
  6. Step 6: Final answer
    x = 1,400.16

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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.