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Finding the Fourth Proportional to 1,980.40, 2,733.60 and 1,560.84

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Solution

The fourth proportional to 1,980.40, 2,733.60 and 1,560.84 is: 2,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.40 : 2,733.60 = 1,560.84 : x
  2. Step 2: Convert to fraction form
    1,980.40/2,733.60 = 1,560.84/x
  3. Step 3: Cross multiply
    1,980.40x = 2,733.60 × 1,560.84
  4. Step 4: Simplify right side
    1,980.40x = 4,266,712.22
  5. Step 5: Solve for x
    x = 4,266,712.22/1,980.40
  6. Step 6: Final answer
    x = 2,154.47

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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.