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Finding the Fourth Proportional to 2,955.87, 4,432.86 and 1,313.88

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Solution

The fourth proportional to 2,955.87, 4,432.86 and 1,313.88 is: 1,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.87 : 4,432.86 = 1,313.88 : x
  2. Step 2: Convert to fraction form
    2,955.87/4,432.86 = 1,313.88/x
  3. Step 3: Cross multiply
    2,955.87x = 4,432.86 × 1,313.88
  4. Step 4: Simplify right side
    2,955.87x = 5,824,246.10
  5. Step 5: Solve for x
    x = 5,824,246.10/2,955.87
  6. Step 6: Final answer
    x = 1,970.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.