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Finding the Fourth Proportional to 1,421.13, 2,132.64 and 987.51

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Solution

The fourth proportional to 1,421.13, 2,132.64 and 987.51 is: 1,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.13 : 2,132.64 = 987.51 : x
  2. Step 2: Convert to fraction form
    1,421.13/2,132.64 = 987.51/x
  3. Step 3: Cross multiply
    1,421.13x = 2,132.64 × 987.51
  4. Step 4: Simplify right side
    1,421.13x = 2,106,003.33
  5. Step 5: Solve for x
    x = 2,106,003.33/1,421.13
  6. Step 6: Final answer
    x = 1,481.92

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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.