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Finding the Fourth Proportional to 2,867.93, 4,294.94 and 1,458.63

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Solution

The fourth proportional to 2,867.93, 4,294.94 and 1,458.63 is: 2,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.93 : 4,294.94 = 1,458.63 : x
  2. Step 2: Convert to fraction form
    2,867.93/4,294.94 = 1,458.63/x
  3. Step 3: Cross multiply
    2,867.93x = 4,294.94 × 1,458.63
  4. Step 4: Simplify right side
    2,867.93x = 6,264,721.04
  5. Step 5: Solve for x
    x = 6,264,721.04/2,867.93
  6. Step 6: Final answer
    x = 2,184.41

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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.