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Finding the Fourth Proportional to 1,223.98, 1,824.30 and 1,154.79

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Solution

The fourth proportional to 1,223.98, 1,824.30 and 1,154.79 is: 1,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.98 : 1,824.30 = 1,154.79 : x
  2. Step 2: Convert to fraction form
    1,223.98/1,824.30 = 1,154.79/x
  3. Step 3: Cross multiply
    1,223.98x = 1,824.30 × 1,154.79
  4. Step 4: Simplify right side
    1,223.98x = 2,106,683.40
  5. Step 5: Solve for x
    x = 2,106,683.40/1,223.98
  6. Step 6: Final answer
    x = 1,721.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.