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Finding the Fourth Proportional to 1,636.46, 2,259.05 and 1,077.22

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Solution

The fourth proportional to 1,636.46, 2,259.05 and 1,077.22 is: 1,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.46 : 2,259.05 = 1,077.22 : x
  2. Step 2: Convert to fraction form
    1,636.46/2,259.05 = 1,077.22/x
  3. Step 3: Cross multiply
    1,636.46x = 2,259.05 × 1,077.22
  4. Step 4: Simplify right side
    1,636.46x = 2,433,482.81
  5. Step 5: Solve for x
    x = 2,433,482.81/1,636.46
  6. Step 6: Final answer
    x = 1,487.05

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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.