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Finding the Fourth Proportional to 2,875.40, 4,313.10 and 1,336.40

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Solution

The fourth proportional to 2,875.40, 4,313.10 and 1,336.40 is: 2,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.40 : 4,313.10 = 1,336.40 : x
  2. Step 2: Convert to fraction form
    2,875.40/4,313.10 = 1,336.40/x
  3. Step 3: Cross multiply
    2,875.40x = 4,313.10 × 1,336.40
  4. Step 4: Simplify right side
    2,875.40x = 5,764,026.84
  5. Step 5: Solve for x
    x = 5,764,026.84/2,875.40
  6. Step 6: Final answer
    x = 2,004.60

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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.