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Finding the Fourth Proportional to 2,955.80, 4,428.84 and 1,915.76

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Solution

The fourth proportional to 2,955.80, 4,428.84 and 1,915.76 is: 2,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.80 : 4,428.84 = 1,915.76 : x
  2. Step 2: Convert to fraction form
    2,955.80/4,428.84 = 1,915.76/x
  3. Step 3: Cross multiply
    2,955.80x = 4,428.84 × 1,915.76
  4. Step 4: Simplify right side
    2,955.80x = 8,484,594.52
  5. Step 5: Solve for x
    x = 8,484,594.52/2,955.80
  6. Step 6: Final answer
    x = 2,870.49

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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.