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Finding the Fourth Proportional to 1,750.20, 2,415.08 and 964.09

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Solution

The fourth proportional to 1,750.20, 2,415.08 and 964.09 is: 1,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.20 : 2,415.08 = 964.09 : x
  2. Step 2: Convert to fraction form
    1,750.20/2,415.08 = 964.09/x
  3. Step 3: Cross multiply
    1,750.20x = 2,415.08 × 964.09
  4. Step 4: Simplify right side
    1,750.20x = 2,328,354.48
  5. Step 5: Solve for x
    x = 2,328,354.48/1,750.20
  6. Step 6: Final answer
    x = 1,330.34

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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.