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Finding the Fourth Proportional to 1,788, 2,681.82 and 471.90

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Solution

The fourth proportional to 1,788, 2,681.82 and 471.90 is: 707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788 : 2,681.82 = 471.90 : x
  2. Step 2: Convert to fraction form
    1,788/2,681.82 = 471.90/x
  3. Step 3: Cross multiply
    1,788x = 2,681.82 × 471.90
  4. Step 4: Simplify right side
    1,788x = 1,265,550.86
  5. Step 5: Solve for x
    x = 1,265,550.86/1,788
  6. Step 6: Final answer
    x = 707.80

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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.