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Finding the Fourth Proportional to 1,750.36, 2,415.50 and 964.41

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Solution

The fourth proportional to 1,750.36, 2,415.50 and 964.41 is: 1,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.36 : 2,415.50 = 964.41 : x
  2. Step 2: Convert to fraction form
    1,750.36/2,415.50 = 964.41/x
  3. Step 3: Cross multiply
    1,750.36x = 2,415.50 × 964.41
  4. Step 4: Simplify right side
    1,750.36x = 2,329,519.38
  5. Step 5: Solve for x
    x = 2,329,519.38/1,750.36
  6. Step 6: Final answer
    x = 1,330.88

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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.