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Finding the Fourth Proportional to 2,473.35, 3,710.84 and 1,068.54

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Solution

The fourth proportional to 2,473.35, 3,710.84 and 1,068.54 is: 1,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.35 : 3,710.84 = 1,068.54 : x
  2. Step 2: Convert to fraction form
    2,473.35/3,710.84 = 1,068.54/x
  3. Step 3: Cross multiply
    2,473.35x = 3,710.84 × 1,068.54
  4. Step 4: Simplify right side
    2,473.35x = 3,965,175.63
  5. Step 5: Solve for x
    x = 3,965,175.63/2,473.35
  6. Step 6: Final answer
    x = 1,603.16

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Why These Related Problems?

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