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Finding the Fourth Proportional to 2,373.58, 3,557.04 and 985.42

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Solution

The fourth proportional to 2,373.58, 3,557.04 and 985.42 is: 1,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.58 : 3,557.04 = 985.42 : x
  2. Step 2: Convert to fraction form
    2,373.58/3,557.04 = 985.42/x
  3. Step 3: Cross multiply
    2,373.58x = 3,557.04 × 985.42
  4. Step 4: Simplify right side
    2,373.58x = 3,505,178.36
  5. Step 5: Solve for x
    x = 3,505,178.36/2,373.58
  6. Step 6: Final answer
    x = 1,476.75

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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.