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Finding the Fourth Proportional to 1,903.76, 2,623.75 and 1,378.88

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Solution

The fourth proportional to 1,903.76, 2,623.75 and 1,378.88 is: 1,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.76 : 2,623.75 = 1,378.88 : x
  2. Step 2: Convert to fraction form
    1,903.76/2,623.75 = 1,378.88/x
  3. Step 3: Cross multiply
    1,903.76x = 2,623.75 × 1,378.88
  4. Step 4: Simplify right side
    1,903.76x = 3,617,836.40
  5. Step 5: Solve for x
    x = 3,617,836.40/1,903.76
  6. Step 6: Final answer
    x = 1,900.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.