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Finding the Fourth Proportional to 1,871.51, 2,595.14 and 1,809.24

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Solution

The fourth proportional to 1,871.51, 2,595.14 and 1,809.24 is: 2,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.51 : 2,595.14 = 1,809.24 : x
  2. Step 2: Convert to fraction form
    1,871.51/2,595.14 = 1,809.24/x
  3. Step 3: Cross multiply
    1,871.51x = 2,595.14 × 1,809.24
  4. Step 4: Simplify right side
    1,871.51x = 4,695,219.10
  5. Step 5: Solve for x
    x = 4,695,219.10/1,871.51
  6. Step 6: Final answer
    x = 2,508.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.