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Finding the Fourth Proportional to 1,782.69, 2,460.11 and 1,037.08

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Solution

The fourth proportional to 1,782.69, 2,460.11 and 1,037.08 is: 1,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.69 : 2,460.11 = 1,037.08 : x
  2. Step 2: Convert to fraction form
    1,782.69/2,460.11 = 1,037.08/x
  3. Step 3: Cross multiply
    1,782.69x = 2,460.11 × 1,037.08
  4. Step 4: Simplify right side
    1,782.69x = 2,551,330.88
  5. Step 5: Solve for x
    x = 2,551,330.88/1,782.69
  6. Step 6: Final answer
    x = 1,431.17

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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.