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Finding the Fourth Proportional to 1,452.93, 2,004.71 and 981.69

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Solution

The fourth proportional to 1,452.93, 2,004.71 and 981.69 is: 1,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.93 : 2,004.71 = 981.69 : x
  2. Step 2: Convert to fraction form
    1,452.93/2,004.71 = 981.69/x
  3. Step 3: Cross multiply
    1,452.93x = 2,004.71 × 981.69
  4. Step 4: Simplify right side
    1,452.93x = 1,968,003.76
  5. Step 5: Solve for x
    x = 1,968,003.76/1,452.93
  6. Step 6: Final answer
    x = 1,354.51

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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.