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Finding the Fourth Proportional to 2,878.34, 4,318.13 and 930.51

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Solution

The fourth proportional to 2,878.34, 4,318.13 and 930.51 is: 1,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.34 : 4,318.13 = 930.51 : x
  2. Step 2: Convert to fraction form
    2,878.34/4,318.13 = 930.51/x
  3. Step 3: Cross multiply
    2,878.34x = 4,318.13 × 930.51
  4. Step 4: Simplify right side
    2,878.34x = 4,018,065.47
  5. Step 5: Solve for x
    x = 4,018,065.47/2,878.34
  6. Step 6: Final answer
    x = 1,395.97

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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.