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Finding the Fourth Proportional to 2,497.70, 3,448.86 and 1,702.70

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Solution

The fourth proportional to 2,497.70, 3,448.86 and 1,702.70 is: 2,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.70 : 3,448.86 = 1,702.70 : x
  2. Step 2: Convert to fraction form
    2,497.70/3,448.86 = 1,702.70/x
  3. Step 3: Cross multiply
    2,497.70x = 3,448.86 × 1,702.70
  4. Step 4: Simplify right side
    2,497.70x = 5,872,373.92
  5. Step 5: Solve for x
    x = 5,872,373.92/2,497.70
  6. Step 6: Final answer
    x = 2,351.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.