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Finding the Fourth Proportional to 2,078.16, 3,117.23 and 617.32

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Solution

The fourth proportional to 2,078.16, 3,117.23 and 617.32 is: 925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.16 : 3,117.23 = 617.32 : x
  2. Step 2: Convert to fraction form
    2,078.16/3,117.23 = 617.32/x
  3. Step 3: Cross multiply
    2,078.16x = 3,117.23 × 617.32
  4. Step 4: Simplify right side
    2,078.16x = 1,924,335.02
  5. Step 5: Solve for x
    x = 1,924,335.02/2,078.16
  6. Step 6: Final answer
    x = 925.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.