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Finding the Fourth Proportional to 1,988.56, 2,980.02 and 1,464.45

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Solution

The fourth proportional to 1,988.56, 2,980.02 and 1,464.45 is: 2,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.56 : 2,980.02 = 1,464.45 : x
  2. Step 2: Convert to fraction form
    1,988.56/2,980.02 = 1,464.45/x
  3. Step 3: Cross multiply
    1,988.56x = 2,980.02 × 1,464.45
  4. Step 4: Simplify right side
    1,988.56x = 4,364,097.25
  5. Step 5: Solve for x
    x = 4,364,097.25/1,988.56
  6. Step 6: Final answer
    x = 2,194.60

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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.