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Finding the Fourth Proportional to 1,506.96, 2,078.68 and 995.93

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Solution

The fourth proportional to 1,506.96, 2,078.68 and 995.93 is: 1,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.96 : 2,078.68 = 995.93 : x
  2. Step 2: Convert to fraction form
    1,506.96/2,078.68 = 995.93/x
  3. Step 3: Cross multiply
    1,506.96x = 2,078.68 × 995.93
  4. Step 4: Simplify right side
    1,506.96x = 2,070,220.45
  5. Step 5: Solve for x
    x = 2,070,220.45/1,506.96
  6. Step 6: Final answer
    x = 1,373.78

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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.