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Finding the Fourth Proportional to 1,506.13, 2,078.48 and 981.86

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Solution

The fourth proportional to 1,506.13, 2,078.48 and 981.86 is: 1,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.13 : 2,078.48 = 981.86 : x
  2. Step 2: Convert to fraction form
    1,506.13/2,078.48 = 981.86/x
  3. Step 3: Cross multiply
    1,506.13x = 2,078.48 × 981.86
  4. Step 4: Simplify right side
    1,506.13x = 2,040,768.44
  5. Step 5: Solve for x
    x = 2,040,768.44/1,506.13
  6. Step 6: Final answer
    x = 1,354.98

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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.