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Finding the Fourth Proportional to 2,878.51, 4,314.86 and 1,122.42

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Solution

The fourth proportional to 2,878.51, 4,314.86 and 1,122.42 is: 1,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.51 : 4,314.86 = 1,122.42 : x
  2. Step 2: Convert to fraction form
    2,878.51/4,314.86 = 1,122.42/x
  3. Step 3: Cross multiply
    2,878.51x = 4,314.86 × 1,122.42
  4. Step 4: Simplify right side
    2,878.51x = 4,843,085.16
  5. Step 5: Solve for x
    x = 4,843,085.16/2,878.51
  6. Step 6: Final answer
    x = 1,682.50

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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.