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Finding the Fourth Proportional to 1,510.67, 2,084.80 and 847.47

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Solution

The fourth proportional to 1,510.67, 2,084.80 and 847.47 is: 1,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.67 : 2,084.80 = 847.47 : x
  2. Step 2: Convert to fraction form
    1,510.67/2,084.80 = 847.47/x
  3. Step 3: Cross multiply
    1,510.67x = 2,084.80 × 847.47
  4. Step 4: Simplify right side
    1,510.67x = 1,766,795.03
  5. Step 5: Solve for x
    x = 1,766,795.03/1,510.67
  6. Step 6: Final answer
    x = 1,169.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.