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Finding the Fourth Proportional to 2,878.02, 4,314.04 and 1,953.66

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Solution

The fourth proportional to 2,878.02, 4,314.04 and 1,953.66 is: 2,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.02 : 4,314.04 = 1,953.66 : x
  2. Step 2: Convert to fraction form
    2,878.02/4,314.04 = 1,953.66/x
  3. Step 3: Cross multiply
    2,878.02x = 4,314.04 × 1,953.66
  4. Step 4: Simplify right side
    2,878.02x = 8,428,167.39
  5. Step 5: Solve for x
    x = 8,428,167.39/2,878.02
  6. Step 6: Final answer
    x = 2,928.46

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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.