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Finding the Fourth Proportional to 1,748.24, 2,412.48 and 962.24

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Solution

The fourth proportional to 1,748.24, 2,412.48 and 962.24 is: 1,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.24 : 2,412.48 = 962.24 : x
  2. Step 2: Convert to fraction form
    1,748.24/2,412.48 = 962.24/x
  3. Step 3: Cross multiply
    1,748.24x = 2,412.48 × 962.24
  4. Step 4: Simplify right side
    1,748.24x = 2,321,384.76
  5. Step 5: Solve for x
    x = 2,321,384.76/1,748.24
  6. Step 6: Final answer
    x = 1,327.84

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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.