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Finding the Fourth Proportional to 2,117.04, 3,176.04 and 656.40

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Solution

The fourth proportional to 2,117.04, 3,176.04 and 656.40 is: 984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.04 : 3,176.04 = 656.40 : x
  2. Step 2: Convert to fraction form
    2,117.04/3,176.04 = 656.40/x
  3. Step 3: Cross multiply
    2,117.04x = 3,176.04 × 656.40
  4. Step 4: Simplify right side
    2,117.04x = 2,084,752.66
  5. Step 5: Solve for x
    x = 2,084,752.66/2,117.04
  6. Step 6: Final answer
    x = 984.75

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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.