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Finding the Fourth Proportional to 1,704.86, 2,558.67 and 964.93

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Solution

The fourth proportional to 1,704.86, 2,558.67 and 964.93 is: 1,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.86 : 2,558.67 = 964.93 : x
  2. Step 2: Convert to fraction form
    1,704.86/2,558.67 = 964.93/x
  3. Step 3: Cross multiply
    1,704.86x = 2,558.67 × 964.93
  4. Step 4: Simplify right side
    1,704.86x = 2,468,931.05
  5. Step 5: Solve for x
    x = 2,468,931.05/1,704.86
  6. Step 6: Final answer
    x = 1,448.17

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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.