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Finding the Fourth Proportional to 2,470.70, 3,706.65 and 1,741.70

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Solution

The fourth proportional to 2,470.70, 3,706.65 and 1,741.70 is: 2,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.70 : 3,706.65 = 1,741.70 : x
  2. Step 2: Convert to fraction form
    2,470.70/3,706.65 = 1,741.70/x
  3. Step 3: Cross multiply
    2,470.70x = 3,706.65 × 1,741.70
  4. Step 4: Simplify right side
    2,470.70x = 6,455,853.77
  5. Step 5: Solve for x
    x = 6,455,853.77/2,470.70
  6. Step 6: Final answer
    x = 2,612.97

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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.