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Finding the Fourth Proportional to 1,962.68, 2,944.70 and 987.98

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Solution

The fourth proportional to 1,962.68, 2,944.70 and 987.98 is: 1,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.68 : 2,944.70 = 987.98 : x
  2. Step 2: Convert to fraction form
    1,962.68/2,944.70 = 987.98/x
  3. Step 3: Cross multiply
    1,962.68x = 2,944.70 × 987.98
  4. Step 4: Simplify right side
    1,962.68x = 2,909,304.71
  5. Step 5: Solve for x
    x = 2,909,304.71/1,962.68
  6. Step 6: Final answer
    x = 1,482.31

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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.