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Finding the Fourth Proportional to 1,857.41, 2,563.22 and 1,071.45

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Solution

The fourth proportional to 1,857.41, 2,563.22 and 1,071.45 is: 1,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.41 : 2,563.22 = 1,071.45 : x
  2. Step 2: Convert to fraction form
    1,857.41/2,563.22 = 1,071.45/x
  3. Step 3: Cross multiply
    1,857.41x = 2,563.22 × 1,071.45
  4. Step 4: Simplify right side
    1,857.41x = 2,746,362.07
  5. Step 5: Solve for x
    x = 2,746,362.07/1,857.41
  6. Step 6: Final answer
    x = 1,478.60

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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.