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Finding the Fourth Proportional to 4,184, 6,278.88 and 1,448

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Solution

The fourth proportional to 4,184, 6,278.88 and 1,448 is: 2,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184 : 6,278.88 = 1,448 : x
  2. Step 2: Convert to fraction form
    4,184/6,278.88 = 1,448/x
  3. Step 3: Cross multiply
    4,184x = 6,278.88 × 1,448
  4. Step 4: Simplify right side
    4,184x = 9,091,818.24
  5. Step 5: Solve for x
    x = 9,091,818.24/4,184
  6. Step 6: Final answer
    x = 2,173.00

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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.