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Finding the Fourth Proportional to 1,762.37, 2,643.86 and 788.55

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Solution

The fourth proportional to 1,762.37, 2,643.86 and 788.55 is: 1,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.37 : 2,643.86 = 788.55 : x
  2. Step 2: Convert to fraction form
    1,762.37/2,643.86 = 788.55/x
  3. Step 3: Cross multiply
    1,762.37x = 2,643.86 × 788.55
  4. Step 4: Simplify right side
    1,762.37x = 2,084,798.64
  5. Step 5: Solve for x
    x = 2,084,798.64/1,762.37
  6. Step 6: Final answer
    x = 1,182.96

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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.