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Finding the Fourth Proportional to 1,420.56, 2,129.04 and 1,009.80

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Solution

The fourth proportional to 1,420.56, 2,129.04 and 1,009.80 is: 1,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.56 : 2,129.04 = 1,009.80 : x
  2. Step 2: Convert to fraction form
    1,420.56/2,129.04 = 1,009.80/x
  3. Step 3: Cross multiply
    1,420.56x = 2,129.04 × 1,009.80
  4. Step 4: Simplify right side
    1,420.56x = 2,149,904.59
  5. Step 5: Solve for x
    x = 2,149,904.59/1,420.56
  6. Step 6: Final answer
    x = 1,513.42

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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.