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Finding the Fourth Proportional to 1,782, 2,460.38 and 1,084.59

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Solution

The fourth proportional to 1,782, 2,460.38 and 1,084.59 is: 1,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782 : 2,460.38 = 1,084.59 : x
  2. Step 2: Convert to fraction form
    1,782/2,460.38 = 1,084.59/x
  3. Step 3: Cross multiply
    1,782x = 2,460.38 × 1,084.59
  4. Step 4: Simplify right side
    1,782x = 2,668,498.12
  5. Step 5: Solve for x
    x = 2,668,498.12/1,782
  6. Step 6: Final answer
    x = 1,497.47

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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.