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Finding the Fourth Proportional to 2,853.84, 4,277.67 and 1,465.26

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Solution

The fourth proportional to 2,853.84, 4,277.67 and 1,465.26 is: 2,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.84 : 4,277.67 = 1,465.26 : x
  2. Step 2: Convert to fraction form
    2,853.84/4,277.67 = 1,465.26/x
  3. Step 3: Cross multiply
    2,853.84x = 4,277.67 × 1,465.26
  4. Step 4: Simplify right side
    2,853.84x = 6,267,898.74
  5. Step 5: Solve for x
    x = 6,267,898.74/2,853.84
  6. Step 6: Final answer
    x = 2,196.30

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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.