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Finding the Fourth Proportional to 2,465.50, 3,698.26 and 710.70

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Solution

The fourth proportional to 2,465.50, 3,698.26 and 710.70 is: 1,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.50 : 3,698.26 = 710.70 : x
  2. Step 2: Convert to fraction form
    2,465.50/3,698.26 = 710.70/x
  3. Step 3: Cross multiply
    2,465.50x = 3,698.26 × 710.70
  4. Step 4: Simplify right side
    2,465.50x = 2,628,353.38
  5. Step 5: Solve for x
    x = 2,628,353.38/2,465.50
  6. Step 6: Final answer
    x = 1,066.05

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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.