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Finding the Fourth Proportional to 2,569.51, 3,853.05 and 1,473.58

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Solution

The fourth proportional to 2,569.51, 3,853.05 and 1,473.58 is: 2,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.51 : 3,853.05 = 1,473.58 : x
  2. Step 2: Convert to fraction form
    2,569.51/3,853.05 = 1,473.58/x
  3. Step 3: Cross multiply
    2,569.51x = 3,853.05 × 1,473.58
  4. Step 4: Simplify right side
    2,569.51x = 5,677,777.42
  5. Step 5: Solve for x
    x = 5,677,777.42/2,569.51
  6. Step 6: Final answer
    x = 2,209.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.