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Finding the Fourth Proportional to 1,754.81, 2,421.62 and 968.85

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Solution

The fourth proportional to 1,754.81, 2,421.62 and 968.85 is: 1,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.81 : 2,421.62 = 968.85 : x
  2. Step 2: Convert to fraction form
    1,754.81/2,421.62 = 968.85/x
  3. Step 3: Cross multiply
    1,754.81x = 2,421.62 × 968.85
  4. Step 4: Simplify right side
    1,754.81x = 2,346,174.43
  5. Step 5: Solve for x
    x = 2,346,174.43/1,754.81
  6. Step 6: Final answer
    x = 1,337.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.