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Finding the Fourth Proportional to 1,750.37, 2,415.54 and 964.41

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Solution

The fourth proportional to 1,750.37, 2,415.54 and 964.41 is: 1,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.37 : 2,415.54 = 964.41 : x
  2. Step 2: Convert to fraction form
    1,750.37/2,415.54 = 964.41/x
  3. Step 3: Cross multiply
    1,750.37x = 2,415.54 × 964.41
  4. Step 4: Simplify right side
    1,750.37x = 2,329,570.93
  5. Step 5: Solve for x
    x = 2,329,570.93/1,750.37
  6. Step 6: Final answer
    x = 1,330.91

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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.