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Finding the Fourth Proportional to 3,116.25, 4,674.38 and 924.93

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Solution

The fourth proportional to 3,116.25, 4,674.38 and 924.93 is: 1,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.25 : 4,674.38 = 924.93 : x
  2. Step 2: Convert to fraction form
    3,116.25/4,674.38 = 924.93/x
  3. Step 3: Cross multiply
    3,116.25x = 4,674.38 × 924.93
  4. Step 4: Simplify right side
    3,116.25x = 4,323,469.67
  5. Step 5: Solve for x
    x = 4,323,469.67/3,116.25
  6. Step 6: Final answer
    x = 1,387.40

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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.