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Finding the Fourth Proportional to 1,704.93, 2,558.61 and 975.93

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Solution

The fourth proportional to 1,704.93, 2,558.61 and 975.93 is: 1,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.93 : 2,558.61 = 975.93 : x
  2. Step 2: Convert to fraction form
    1,704.93/2,558.61 = 975.93/x
  3. Step 3: Cross multiply
    1,704.93x = 2,558.61 × 975.93
  4. Step 4: Simplify right side
    1,704.93x = 2,497,024.26
  5. Step 5: Solve for x
    x = 2,497,024.26/1,704.93
  6. Step 6: Final answer
    x = 1,464.59

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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.