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Finding the Fourth Proportional to 1,762.49, 2,643.63 and 788.33

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Solution

The fourth proportional to 1,762.49, 2,643.63 and 788.33 is: 1,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.49 : 2,643.63 = 788.33 : x
  2. Step 2: Convert to fraction form
    1,762.49/2,643.63 = 788.33/x
  3. Step 3: Cross multiply
    1,762.49x = 2,643.63 × 788.33
  4. Step 4: Simplify right side
    1,762.49x = 2,084,052.84
  5. Step 5: Solve for x
    x = 2,084,052.84/1,762.49
  6. Step 6: Final answer
    x = 1,182.45

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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.