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Finding the Fourth Proportional to 4,785.84, 7,178.76 and 1,323

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Solution

The fourth proportional to 4,785.84, 7,178.76 and 1,323 is: 1,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.84 : 7,178.76 = 1,323 : x
  2. Step 2: Convert to fraction form
    4,785.84/7,178.76 = 1,323/x
  3. Step 3: Cross multiply
    4,785.84x = 7,178.76 × 1,323
  4. Step 4: Simplify right side
    4,785.84x = 9,497,499.48
  5. Step 5: Solve for x
    x = 9,497,499.48/4,785.84
  6. Step 6: Final answer
    x = 1,984.50

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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.