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Finding the Fourth Proportional to 1,753.90, 2,412.93 and 1,705.30

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Solution

The fourth proportional to 1,753.90, 2,412.93 and 1,705.30 is: 2,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.90 : 2,412.93 = 1,705.30 : x
  2. Step 2: Convert to fraction form
    1,753.90/2,412.93 = 1,705.30/x
  3. Step 3: Cross multiply
    1,753.90x = 2,412.93 × 1,705.30
  4. Step 4: Simplify right side
    1,753.90x = 4,114,769.53
  5. Step 5: Solve for x
    x = 4,114,769.53/1,753.90
  6. Step 6: Final answer
    x = 2,346.07

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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.