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Finding the Fourth Proportional to 1,741.78, 2,403.04 and 995.23

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Solution

The fourth proportional to 1,741.78, 2,403.04 and 995.23 is: 1,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.78 : 2,403.04 = 995.23 : x
  2. Step 2: Convert to fraction form
    1,741.78/2,403.04 = 995.23/x
  3. Step 3: Cross multiply
    1,741.78x = 2,403.04 × 995.23
  4. Step 4: Simplify right side
    1,741.78x = 2,391,577.50
  5. Step 5: Solve for x
    x = 2,391,577.50/1,741.78
  6. Step 6: Final answer
    x = 1,373.07

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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.