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Finding the Fourth Proportional to 2,316.46, 3,470.10 and 2,127.46

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Solution

The fourth proportional to 2,316.46, 3,470.10 and 2,127.46 is: 3,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.46 : 3,470.10 = 2,127.46 : x
  2. Step 2: Convert to fraction form
    2,316.46/3,470.10 = 2,127.46/x
  3. Step 3: Cross multiply
    2,316.46x = 3,470.10 × 2,127.46
  4. Step 4: Simplify right side
    2,316.46x = 7,382,498.95
  5. Step 5: Solve for x
    x = 7,382,498.95/2,316.46
  6. Step 6: Final answer
    x = 3,186.97

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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.