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Finding the Fourth Proportional to 1,561.80, 2,343.57 and 522.12

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Solution

The fourth proportional to 1,561.80, 2,343.57 and 522.12 is: 783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.80 : 2,343.57 = 522.12 : x
  2. Step 2: Convert to fraction form
    1,561.80/2,343.57 = 522.12/x
  3. Step 3: Cross multiply
    1,561.80x = 2,343.57 × 522.12
  4. Step 4: Simplify right side
    1,561.80x = 1,223,624.77
  5. Step 5: Solve for x
    x = 1,223,624.77/1,561.80
  6. Step 6: Final answer
    x = 783.47

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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.