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Finding the Fourth Proportional to 2,470.08, 3,706.08 and 1,496.88

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Solution

The fourth proportional to 2,470.08, 3,706.08 and 1,496.88 is: 2,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.08 : 3,706.08 = 1,496.88 : x
  2. Step 2: Convert to fraction form
    2,470.08/3,706.08 = 1,496.88/x
  3. Step 3: Cross multiply
    2,470.08x = 3,706.08 × 1,496.88
  4. Step 4: Simplify right side
    2,470.08x = 5,547,557.03
  5. Step 5: Solve for x
    x = 5,547,557.03/2,470.08
  6. Step 6: Final answer
    x = 2,245.90

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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.