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Finding the Fourth Proportional to 4,556.84, 6,834.86 and 1,270

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Solution

The fourth proportional to 4,556.84, 6,834.86 and 1,270 is: 1,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.84 : 6,834.86 = 1,270 : x
  2. Step 2: Convert to fraction form
    4,556.84/6,834.86 = 1,270/x
  3. Step 3: Cross multiply
    4,556.84x = 6,834.86 × 1,270
  4. Step 4: Simplify right side
    4,556.84x = 8,680,272.20
  5. Step 5: Solve for x
    x = 8,680,272.20/4,556.84
  6. Step 6: Final answer
    x = 1,904.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.