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Finding the Fourth Proportional to 1,762.20, 2,643.55 and 591.82

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Solution

The fourth proportional to 1,762.20, 2,643.55 and 591.82 is: 887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.20 : 2,643.55 = 591.82 : x
  2. Step 2: Convert to fraction form
    1,762.20/2,643.55 = 591.82/x
  3. Step 3: Cross multiply
    1,762.20x = 2,643.55 × 591.82
  4. Step 4: Simplify right side
    1,762.20x = 1,564,505.76
  5. Step 5: Solve for x
    x = 1,564,505.76/1,762.20
  6. Step 6: Final answer
    x = 887.81

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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.