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Finding the Fourth Proportional to 1,574.10, 2,173.64 and 985.64

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Solution

The fourth proportional to 1,574.10, 2,173.64 and 985.64 is: 1,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.10 : 2,173.64 = 985.64 : x
  2. Step 2: Convert to fraction form
    1,574.10/2,173.64 = 985.64/x
  3. Step 3: Cross multiply
    1,574.10x = 2,173.64 × 985.64
  4. Step 4: Simplify right side
    1,574.10x = 2,142,426.53
  5. Step 5: Solve for x
    x = 2,142,426.53/1,574.10
  6. Step 6: Final answer
    x = 1,361.05

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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.