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Finding the Fourth Proportional to 1,925.20, 2,885.98 and 1,754

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Solution

The fourth proportional to 1,925.20, 2,885.98 and 1,754 is: 2,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.20 : 2,885.98 = 1,754 : x
  2. Step 2: Convert to fraction form
    1,925.20/2,885.98 = 1,754/x
  3. Step 3: Cross multiply
    1,925.20x = 2,885.98 × 1,754
  4. Step 4: Simplify right side
    1,925.20x = 5,062,008.92
  5. Step 5: Solve for x
    x = 5,062,008.92/1,925.20
  6. Step 6: Final answer
    x = 2,629.34

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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.