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Finding the Fourth Proportional to 1,420.06, 2,130.53 and 727.22

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Solution

The fourth proportional to 1,420.06, 2,130.53 and 727.22 is: 1,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.06 : 2,130.53 = 727.22 : x
  2. Step 2: Convert to fraction form
    1,420.06/2,130.53 = 727.22/x
  3. Step 3: Cross multiply
    1,420.06x = 2,130.53 × 727.22
  4. Step 4: Simplify right side
    1,420.06x = 1,549,360.39
  5. Step 5: Solve for x
    x = 1,549,360.39/1,420.06
  6. Step 6: Final answer
    x = 1,091.05

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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.