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Finding the Fourth Proportional to 1,748.49, 2,412.86 and 962.53

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Solution

The fourth proportional to 1,748.49, 2,412.86 and 962.53 is: 1,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.49 : 2,412.86 = 962.53 : x
  2. Step 2: Convert to fraction form
    1,748.49/2,412.86 = 962.53/x
  3. Step 3: Cross multiply
    1,748.49x = 2,412.86 × 962.53
  4. Step 4: Simplify right side
    1,748.49x = 2,322,460.98
  5. Step 5: Solve for x
    x = 2,322,460.98/1,748.49
  6. Step 6: Final answer
    x = 1,328.27

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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.