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Finding the Fourth Proportional to 2,377.34, 3,565.80 and 933.28

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Solution

The fourth proportional to 2,377.34, 3,565.80 and 933.28 is: 1,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.34 : 3,565.80 = 933.28 : x
  2. Step 2: Convert to fraction form
    2,377.34/3,565.80 = 933.28/x
  3. Step 3: Cross multiply
    2,377.34x = 3,565.80 × 933.28
  4. Step 4: Simplify right side
    2,377.34x = 3,327,883.24
  5. Step 5: Solve for x
    x = 3,327,883.24/2,377.34
  6. Step 6: Final answer
    x = 1,399.84

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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.