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Finding the Fourth Proportional to 3,145.92, 4,341.29 and 1,783.10

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Solution

The fourth proportional to 3,145.92, 4,341.29 and 1,783.10 is: 2,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.92 : 4,341.29 = 1,783.10 : x
  2. Step 2: Convert to fraction form
    3,145.92/4,341.29 = 1,783.10/x
  3. Step 3: Cross multiply
    3,145.92x = 4,341.29 × 1,783.10
  4. Step 4: Simplify right side
    3,145.92x = 7,740,923.58
  5. Step 5: Solve for x
    x = 7,740,923.58/3,145.92
  6. Step 6: Final answer
    x = 2,460.62

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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.