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Finding the Fourth Proportional to 1,857.57, 2,563.35 and 1,071.56

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Solution

The fourth proportional to 1,857.57, 2,563.35 and 1,071.56 is: 1,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.57 : 2,563.35 = 1,071.56 : x
  2. Step 2: Convert to fraction form
    1,857.57/2,563.35 = 1,071.56/x
  3. Step 3: Cross multiply
    1,857.57x = 2,563.35 × 1,071.56
  4. Step 4: Simplify right side
    1,857.57x = 2,746,785.72
  5. Step 5: Solve for x
    x = 2,746,785.72/1,857.57
  6. Step 6: Final answer
    x = 1,478.70

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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.