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Finding the Fourth Proportional to 3,090, 4,264.42 and 1,763.74

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Solution

The fourth proportional to 3,090, 4,264.42 and 1,763.74 is: 2,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090 : 4,264.42 = 1,763.74 : x
  2. Step 2: Convert to fraction form
    3,090/4,264.42 = 1,763.74/x
  3. Step 3: Cross multiply
    3,090x = 4,264.42 × 1,763.74
  4. Step 4: Simplify right side
    3,090x = 7,521,328.13
  5. Step 5: Solve for x
    x = 7,521,328.13/3,090
  6. Step 6: Final answer
    x = 2,434.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.