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Finding the Fourth Proportional to 1,563.49, 2,346.40 and 741.77

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Solution

The fourth proportional to 1,563.49, 2,346.40 and 741.77 is: 1,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.49 : 2,346.40 = 741.77 : x
  2. Step 2: Convert to fraction form
    1,563.49/2,346.40 = 741.77/x
  3. Step 3: Cross multiply
    1,563.49x = 2,346.40 × 741.77
  4. Step 4: Simplify right side
    1,563.49x = 1,740,489.13
  5. Step 5: Solve for x
    x = 1,740,489.13/1,563.49
  6. Step 6: Final answer
    x = 1,113.21

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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.