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Finding the Fourth Proportional to 1,723.63, 2,584.98 and 749.50

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Solution

The fourth proportional to 1,723.63, 2,584.98 and 749.50 is: 1,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.63 : 2,584.98 = 749.50 : x
  2. Step 2: Convert to fraction form
    1,723.63/2,584.98 = 749.50/x
  3. Step 3: Cross multiply
    1,723.63x = 2,584.98 × 749.50
  4. Step 4: Simplify right side
    1,723.63x = 1,937,444.38
  5. Step 5: Solve for x
    x = 1,937,444.38/1,723.63
  6. Step 6: Final answer
    x = 1,124.05

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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.