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Finding the Fourth Proportional to 1,698.38, 2,547.81 and 1,605.01

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Solution

The fourth proportional to 1,698.38, 2,547.81 and 1,605.01 is: 2,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.38 : 2,547.81 = 1,605.01 : x
  2. Step 2: Convert to fraction form
    1,698.38/2,547.81 = 1,605.01/x
  3. Step 3: Cross multiply
    1,698.38x = 2,547.81 × 1,605.01
  4. Step 4: Simplify right side
    1,698.38x = 4,089,243.78
  5. Step 5: Solve for x
    x = 4,089,243.78/1,698.38
  6. Step 6: Final answer
    x = 2,407.73

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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.