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Finding the Fourth Proportional to 1,657.69, 2,473.71 and 1,473.64

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Solution

The fourth proportional to 1,657.69, 2,473.71 and 1,473.64 is: 2,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.69 : 2,473.71 = 1,473.64 : x
  2. Step 2: Convert to fraction form
    1,657.69/2,473.71 = 1,473.64/x
  3. Step 3: Cross multiply
    1,657.69x = 2,473.71 × 1,473.64
  4. Step 4: Simplify right side
    1,657.69x = 3,645,358.00
  5. Step 5: Solve for x
    x = 3,645,358.00/1,657.69
  6. Step 6: Final answer
    x = 2,199.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.