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Finding the Fourth Proportional to 1,909.56, 2,860.74 and 1,127.22

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Solution

The fourth proportional to 1,909.56, 2,860.74 and 1,127.22 is: 1,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.56 : 2,860.74 = 1,127.22 : x
  2. Step 2: Convert to fraction form
    1,909.56/2,860.74 = 1,127.22/x
  3. Step 3: Cross multiply
    1,909.56x = 2,860.74 × 1,127.22
  4. Step 4: Simplify right side
    1,909.56x = 3,224,683.34
  5. Step 5: Solve for x
    x = 3,224,683.34/1,909.56
  6. Step 6: Final answer
    x = 1,688.70

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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.