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Finding the Fourth Proportional to 2,392.54, 3,588.71 and 749.05

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Solution

The fourth proportional to 2,392.54, 3,588.71 and 749.05 is: 1,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.54 : 3,588.71 = 749.05 : x
  2. Step 2: Convert to fraction form
    2,392.54/3,588.71 = 749.05/x
  3. Step 3: Cross multiply
    2,392.54x = 3,588.71 × 749.05
  4. Step 4: Simplify right side
    2,392.54x = 2,688,110.51
  5. Step 5: Solve for x
    x = 2,688,110.51/2,392.54
  6. Step 6: Final answer
    x = 1,123.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.