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Finding the Fourth Proportional to 2,783.76, 4,175.70 and 934.93

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Solution

The fourth proportional to 2,783.76, 4,175.70 and 934.93 is: 1,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.76 : 4,175.70 = 934.93 : x
  2. Step 2: Convert to fraction form
    2,783.76/4,175.70 = 934.93/x
  3. Step 3: Cross multiply
    2,783.76x = 4,175.70 × 934.93
  4. Step 4: Simplify right side
    2,783.76x = 3,903,987.20
  5. Step 5: Solve for x
    x = 3,903,987.20/2,783.76
  6. Step 6: Final answer
    x = 1,402.42

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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.