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Finding the Fourth Proportional to 3,024.81, 4,174.54 and 2,032.16

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Solution

The fourth proportional to 3,024.81, 4,174.54 and 2,032.16 is: 2,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.81 : 4,174.54 = 2,032.16 : x
  2. Step 2: Convert to fraction form
    3,024.81/4,174.54 = 2,032.16/x
  3. Step 3: Cross multiply
    3,024.81x = 4,174.54 × 2,032.16
  4. Step 4: Simplify right side
    3,024.81x = 8,483,307.25
  5. Step 5: Solve for x
    x = 8,483,307.25/3,024.81
  6. Step 6: Final answer
    x = 2,804.58

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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.