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Finding the Fourth Proportional to 1,705.60, 2,338.64 and 1,539.16

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Solution

The fourth proportional to 1,705.60, 2,338.64 and 1,539.16 is: 2,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.60 : 2,338.64 = 1,539.16 : x
  2. Step 2: Convert to fraction form
    1,705.60/2,338.64 = 1,539.16/x
  3. Step 3: Cross multiply
    1,705.60x = 2,338.64 × 1,539.16
  4. Step 4: Simplify right side
    1,705.60x = 3,599,541.14
  5. Step 5: Solve for x
    x = 3,599,541.14/1,705.60
  6. Step 6: Final answer
    x = 2,110.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.