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Finding the Fourth Proportional to 4,784.74, 7,177.83 and 1,706.50

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Solution

The fourth proportional to 4,784.74, 7,177.83 and 1,706.50 is: 2,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.74 : 7,177.83 = 1,706.50 : x
  2. Step 2: Convert to fraction form
    4,784.74/7,177.83 = 1,706.50/x
  3. Step 3: Cross multiply
    4,784.74x = 7,177.83 × 1,706.50
  4. Step 4: Simplify right side
    4,784.74x = 12,248,966.90
  5. Step 5: Solve for x
    x = 12,248,966.90/4,784.74
  6. Step 6: Final answer
    x = 2,560.01

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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.