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Finding the Fourth Proportional to 1,794.70, 2,681.09 and 1,429.93

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Solution

The fourth proportional to 1,794.70, 2,681.09 and 1,429.93 is: 2,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.70 : 2,681.09 = 1,429.93 : x
  2. Step 2: Convert to fraction form
    1,794.70/2,681.09 = 1,429.93/x
  3. Step 3: Cross multiply
    1,794.70x = 2,681.09 × 1,429.93
  4. Step 4: Simplify right side
    1,794.70x = 3,833,771.02
  5. Step 5: Solve for x
    x = 3,833,771.02/1,794.70
  6. Step 6: Final answer
    x = 2,136.16

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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.