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Finding the Fourth Proportional to 1,937.34, 2,904.33 and 962.94

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Solution

The fourth proportional to 1,937.34, 2,904.33 and 962.94 is: 1,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.34 : 2,904.33 = 962.94 : x
  2. Step 2: Convert to fraction form
    1,937.34/2,904.33 = 962.94/x
  3. Step 3: Cross multiply
    1,937.34x = 2,904.33 × 962.94
  4. Step 4: Simplify right side
    1,937.34x = 2,796,695.53
  5. Step 5: Solve for x
    x = 2,796,695.53/1,937.34
  6. Step 6: Final answer
    x = 1,443.57

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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.