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Finding the Fourth Proportional to 1,554.19, 2,330.60 and 823.60

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Solution

The fourth proportional to 1,554.19, 2,330.60 and 823.60 is: 1,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.19 : 2,330.60 = 823.60 : x
  2. Step 2: Convert to fraction form
    1,554.19/2,330.60 = 823.60/x
  3. Step 3: Cross multiply
    1,554.19x = 2,330.60 × 823.60
  4. Step 4: Simplify right side
    1,554.19x = 1,919,478.39
  5. Step 5: Solve for x
    x = 1,919,478.39/1,554.19
  6. Step 6: Final answer
    x = 1,235.04

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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.