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Finding the Fourth Proportional to 1,223.19, 1,834.62 and 345.76

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Solution

The fourth proportional to 1,223.19, 1,834.62 and 345.76 is: 518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.19 : 1,834.62 = 345.76 : x
  2. Step 2: Convert to fraction form
    1,223.19/1,834.62 = 345.76/x
  3. Step 3: Cross multiply
    1,223.19x = 1,834.62 × 345.76
  4. Step 4: Simplify right side
    1,223.19x = 634,343.66
  5. Step 5: Solve for x
    x = 634,343.66/1,223.19
  6. Step 6: Final answer
    x = 518.60

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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.