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Finding the Fourth Proportional to 3,115.65, 4,674.16 and 924.25

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Solution

The fourth proportional to 3,115.65, 4,674.16 and 924.25 is: 1,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.65 : 4,674.16 = 924.25 : x
  2. Step 2: Convert to fraction form
    3,115.65/4,674.16 = 924.25/x
  3. Step 3: Cross multiply
    3,115.65x = 4,674.16 × 924.25
  4. Step 4: Simplify right side
    3,115.65x = 4,320,069.01
  5. Step 5: Solve for x
    x = 4,320,069.01/3,115.65
  6. Step 6: Final answer
    x = 1,386.57

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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.