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Finding the Fourth Proportional to 2,852.40, 3,934.94 and 1,857.30

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Solution

The fourth proportional to 2,852.40, 3,934.94 and 1,857.30 is: 2,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.40 : 3,934.94 = 1,857.30 : x
  2. Step 2: Convert to fraction form
    2,852.40/3,934.94 = 1,857.30/x
  3. Step 3: Cross multiply
    2,852.40x = 3,934.94 × 1,857.30
  4. Step 4: Simplify right side
    2,852.40x = 7,308,364.06
  5. Step 5: Solve for x
    x = 7,308,364.06/2,852.40
  6. Step 6: Final answer
    x = 2,562.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.