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Finding the Fourth Proportional to 1,857.06, 2,562.57 and 1,071.06

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Solution

The fourth proportional to 1,857.06, 2,562.57 and 1,071.06 is: 1,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.06 : 2,562.57 = 1,071.06 : x
  2. Step 2: Convert to fraction form
    1,857.06/2,562.57 = 1,071.06/x
  3. Step 3: Cross multiply
    1,857.06x = 2,562.57 × 1,071.06
  4. Step 4: Simplify right side
    1,857.06x = 2,744,666.22
  5. Step 5: Solve for x
    x = 2,744,666.22/1,857.06
  6. Step 6: Final answer
    x = 1,477.96

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Why These Related Problems?

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