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Finding the Fourth Proportional to 1,857.03, 2,784.78 and 624.12

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Solution

The fourth proportional to 1,857.03, 2,784.78 and 624.12 is: 935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.03 : 2,784.78 = 624.12 : x
  2. Step 2: Convert to fraction form
    1,857.03/2,784.78 = 624.12/x
  3. Step 3: Cross multiply
    1,857.03x = 2,784.78 × 624.12
  4. Step 4: Simplify right side
    1,857.03x = 1,738,036.89
  5. Step 5: Solve for x
    x = 1,738,036.89/1,857.03
  6. Step 6: Final answer
    x = 935.92

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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.