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Finding the Fourth Proportional to 1,781.12, 2,457.72 and 995.15

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Solution

The fourth proportional to 1,781.12, 2,457.72 and 995.15 is: 1,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.12 : 2,457.72 = 995.15 : x
  2. Step 2: Convert to fraction form
    1,781.12/2,457.72 = 995.15/x
  3. Step 3: Cross multiply
    1,781.12x = 2,457.72 × 995.15
  4. Step 4: Simplify right side
    1,781.12x = 2,445,787.77
  5. Step 5: Solve for x
    x = 2,445,787.77/1,781.12
  6. Step 6: Final answer
    x = 1,373.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.