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Finding the Fourth Proportional to 2,085.42, 3,127.86 and 624.45

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Solution

The fourth proportional to 2,085.42, 3,127.86 and 624.45 is: 936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.42 : 3,127.86 = 624.45 : x
  2. Step 2: Convert to fraction form
    2,085.42/3,127.86 = 624.45/x
  3. Step 3: Cross multiply
    2,085.42x = 3,127.86 × 624.45
  4. Step 4: Simplify right side
    2,085.42x = 1,953,192.18
  5. Step 5: Solve for x
    x = 1,953,192.18/2,085.42
  6. Step 6: Final answer
    x = 936.59

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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.