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Finding the Fourth Proportional to 1,510.16, 2,084.14 and 847

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Solution

The fourth proportional to 1,510.16, 2,084.14 and 847 is: 1,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.16 : 2,084.14 = 847 : x
  2. Step 2: Convert to fraction form
    1,510.16/2,084.14 = 847/x
  3. Step 3: Cross multiply
    1,510.16x = 2,084.14 × 847
  4. Step 4: Simplify right side
    1,510.16x = 1,765,266.58
  5. Step 5: Solve for x
    x = 1,765,266.58/1,510.16
  6. Step 6: Final answer
    x = 1,168.93

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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.