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Finding the Fourth Proportional to 1,748.09, 2,412.38 and 962.14

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Solution

The fourth proportional to 1,748.09, 2,412.38 and 962.14 is: 1,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.09 : 2,412.38 = 962.14 : x
  2. Step 2: Convert to fraction form
    1,748.09/2,412.38 = 962.14/x
  3. Step 3: Cross multiply
    1,748.09x = 2,412.38 × 962.14
  4. Step 4: Simplify right side
    1,748.09x = 2,321,047.29
  5. Step 5: Solve for x
    x = 2,321,047.29/1,748.09
  6. Step 6: Final answer
    x = 1,327.76

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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.