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Finding the Fourth Proportional to 2,923.66, 4,034 and 1,744.50

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Solution

The fourth proportional to 2,923.66, 4,034 and 1,744.50 is: 2,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.66 : 4,034 = 1,744.50 : x
  2. Step 2: Convert to fraction form
    2,923.66/4,034 = 1,744.50/x
  3. Step 3: Cross multiply
    2,923.66x = 4,034 × 1,744.50
  4. Step 4: Simplify right side
    2,923.66x = 7,037,313
  5. Step 5: Solve for x
    x = 7,037,313/2,923.66
  6. Step 6: Final answer
    x = 2,407.02

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