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Finding the Fourth Proportional to 1,781.10, 2,457.83 and 995.13

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Solution

The fourth proportional to 1,781.10, 2,457.83 and 995.13 is: 1,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.10 : 2,457.83 = 995.13 : x
  2. Step 2: Convert to fraction form
    1,781.10/2,457.83 = 995.13/x
  3. Step 3: Cross multiply
    1,781.10x = 2,457.83 × 995.13
  4. Step 4: Simplify right side
    1,781.10x = 2,445,860.37
  5. Step 5: Solve for x
    x = 2,445,860.37/1,781.10
  6. Step 6: Final answer
    x = 1,373.23

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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.