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Finding the Fourth Proportional to 4,194, 6,293.88 and 1,458

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Solution

The fourth proportional to 4,194, 6,293.88 and 1,458 is: 2,188.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 6,293.88 = 1,458 : x
  2. Step 2: Convert to fraction form
    4,194/6,293.88 = 1,458/x
  3. Step 3: Cross multiply
    4,194x = 6,293.88 × 1,458
  4. Step 4: Simplify right side
    4,194x = 9,176,477.04
  5. Step 5: Solve for x
    x = 9,176,477.04/4,194
  6. Step 6: Final answer
    x = 2,188.00

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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.