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Finding the Fourth Proportional to 1,577.35, 2,178.12 and 988.90

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Solution

The fourth proportional to 1,577.35, 2,178.12 and 988.90 is: 1,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.35 : 2,178.12 = 988.90 : x
  2. Step 2: Convert to fraction form
    1,577.35/2,178.12 = 988.90/x
  3. Step 3: Cross multiply
    1,577.35x = 2,178.12 × 988.90
  4. Step 4: Simplify right side
    1,577.35x = 2,153,942.87
  5. Step 5: Solve for x
    x = 2,153,942.87/1,577.35
  6. Step 6: Final answer
    x = 1,365.55

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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.