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Finding the Fourth Proportional to 1,782.84, 2,458.26 and 1,503.48

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Solution

The fourth proportional to 1,782.84, 2,458.26 and 1,503.48 is: 2,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.84 : 2,458.26 = 1,503.48 : x
  2. Step 2: Convert to fraction form
    1,782.84/2,458.26 = 1,503.48/x
  3. Step 3: Cross multiply
    1,782.84x = 2,458.26 × 1,503.48
  4. Step 4: Simplify right side
    1,782.84x = 3,695,944.74
  5. Step 5: Solve for x
    x = 3,695,944.74/1,782.84
  6. Step 6: Final answer
    x = 2,073.07

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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.