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Finding the Fourth Proportional to 1,859.26, 2,788.90 and 560.80

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Solution

The fourth proportional to 1,859.26, 2,788.90 and 560.80 is: 841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.26 : 2,788.90 = 560.80 : x
  2. Step 2: Convert to fraction form
    1,859.26/2,788.90 = 560.80/x
  3. Step 3: Cross multiply
    1,859.26x = 2,788.90 × 560.80
  4. Step 4: Simplify right side
    1,859.26x = 1,564,015.12
  5. Step 5: Solve for x
    x = 1,564,015.12/1,859.26
  6. Step 6: Final answer
    x = 841.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.