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Finding the Fourth Proportional to 1,962.63, 2,944.55 and 988.40

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Solution

The fourth proportional to 1,962.63, 2,944.55 and 988.40 is: 1,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.63 : 2,944.55 = 988.40 : x
  2. Step 2: Convert to fraction form
    1,962.63/2,944.55 = 988.40/x
  3. Step 3: Cross multiply
    1,962.63x = 2,944.55 × 988.40
  4. Step 4: Simplify right side
    1,962.63x = 2,910,403.05
  5. Step 5: Solve for x
    x = 2,910,403.05/1,962.63
  6. Step 6: Final answer
    x = 1,482.91

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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.