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Finding the Fourth Proportional to 1,832.51, 2,749.53 and 1,010.72

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Solution

The fourth proportional to 1,832.51, 2,749.53 and 1,010.72 is: 1,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.51 : 2,749.53 = 1,010.72 : x
  2. Step 2: Convert to fraction form
    1,832.51/2,749.53 = 1,010.72/x
  3. Step 3: Cross multiply
    1,832.51x = 2,749.53 × 1,010.72
  4. Step 4: Simplify right side
    1,832.51x = 2,779,004.96
  5. Step 5: Solve for x
    x = 2,779,004.96/1,832.51
  6. Step 6: Final answer
    x = 1,516.50

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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.