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Finding the Fourth Proportional to 2,090.16, 3,133.64 and 702.65

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Solution

The fourth proportional to 2,090.16, 3,133.64 and 702.65 is: 1,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.16 : 3,133.64 = 702.65 : x
  2. Step 2: Convert to fraction form
    2,090.16/3,133.64 = 702.65/x
  3. Step 3: Cross multiply
    2,090.16x = 3,133.64 × 702.65
  4. Step 4: Simplify right side
    2,090.16x = 2,201,861.74
  5. Step 5: Solve for x
    x = 2,201,861.74/2,090.16
  6. Step 6: Final answer
    x = 1,053.44

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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.