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Finding the Fourth Proportional to 2,377.04, 3,565.62 and 990.41

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Solution

The fourth proportional to 2,377.04, 3,565.62 and 990.41 is: 1,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.04 : 3,565.62 = 990.41 : x
  2. Step 2: Convert to fraction form
    2,377.04/3,565.62 = 990.41/x
  3. Step 3: Cross multiply
    2,377.04x = 3,565.62 × 990.41
  4. Step 4: Simplify right side
    2,377.04x = 3,531,425.70
  5. Step 5: Solve for x
    x = 3,531,425.70/2,377.04
  6. Step 6: Final answer
    x = 1,485.64

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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.