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Finding the Fourth Proportional to 1,970.88, 2,957.76 and 1,901.76

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Solution

The fourth proportional to 1,970.88, 2,957.76 and 1,901.76 is: 2,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.88 : 2,957.76 = 1,901.76 : x
  2. Step 2: Convert to fraction form
    1,970.88/2,957.76 = 1,901.76/x
  3. Step 3: Cross multiply
    1,970.88x = 2,957.76 × 1,901.76
  4. Step 4: Simplify right side
    1,970.88x = 5,624,949.66
  5. Step 5: Solve for x
    x = 5,624,949.66/1,970.88
  6. Step 6: Final answer
    x = 2,854.03

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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.